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Finding the Fourth Proportional to 596.76, 823.68 and 375.54

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Solution

The fourth proportional to 596.76, 823.68 and 375.54 is: 518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.68 = 375.54 : x
  2. Step 2: Convert to fraction form
    596.76/823.68 = 375.54/x
  3. Step 3: Cross multiply
    596.76x = 823.68 × 375.54
  4. Step 4: Simplify right side
    596.76x = 309,324.79
  5. Step 5: Solve for x
    x = 309,324.79/596.76
  6. Step 6: Final answer
    x = 518.34

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Find fourth proportional to 298.38, 411.84 and 187.77
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.