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Finding the Fourth Proportional to 596.45, 823.15 and 347.79

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Solution

The fourth proportional to 596.45, 823.15 and 347.79 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 823.15 = 347.79 : x
  2. Step 2: Convert to fraction form
    596.45/823.15 = 347.79/x
  3. Step 3: Cross multiply
    596.45x = 823.15 × 347.79
  4. Step 4: Simplify right side
    596.45x = 286,283.34
  5. Step 5: Solve for x
    x = 286,283.34/596.45
  6. Step 6: Final answer
    x = 479.98

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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.