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Finding the Fourth Proportional to 520.64, 781.07 and 232.07

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Solution

The fourth proportional to 520.64, 781.07 and 232.07 is: 348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.64 : 781.07 = 232.07 : x
  2. Step 2: Convert to fraction form
    520.64/781.07 = 232.07/x
  3. Step 3: Cross multiply
    520.64x = 781.07 × 232.07
  4. Step 4: Simplify right side
    520.64x = 181,263.71
  5. Step 5: Solve for x
    x = 181,263.71/520.64
  6. Step 6: Final answer
    x = 348.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.