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Finding the Fourth Proportional to 520.52, 781.16 and 383.93

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Solution

The fourth proportional to 520.52, 781.16 and 383.93 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 781.16 = 383.93 : x
  2. Step 2: Convert to fraction form
    520.52/781.16 = 383.93/x
  3. Step 3: Cross multiply
    520.52x = 781.16 × 383.93
  4. Step 4: Simplify right side
    520.52x = 299,904.93
  5. Step 5: Solve for x
    x = 299,904.93/520.52
  6. Step 6: Final answer
    x = 576.16

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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.