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Finding the Fourth Proportional to 506.64, 760.32 and 314.40

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Solution

The fourth proportional to 506.64, 760.32 and 314.40 is: 471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 760.32 = 314.40 : x
  2. Step 2: Convert to fraction form
    506.64/760.32 = 314.40/x
  3. Step 3: Cross multiply
    506.64x = 760.32 × 314.40
  4. Step 4: Simplify right side
    506.64x = 239,044.61
  5. Step 5: Solve for x
    x = 239,044.61/506.64
  6. Step 6: Final answer
    x = 471.82

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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.