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Finding the Fourth Proportional to 596.83, 823.66 and 348.05

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Solution

The fourth proportional to 596.83, 823.66 and 348.05 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.83 : 823.66 = 348.05 : x
  2. Step 2: Convert to fraction form
    596.83/823.66 = 348.05/x
  3. Step 3: Cross multiply
    596.83x = 823.66 × 348.05
  4. Step 4: Simplify right side
    596.83x = 286,674.86
  5. Step 5: Solve for x
    x = 286,674.86/596.83
  6. Step 6: Final answer
    x = 480.33

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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.