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Finding the Fourth Proportional to 526.35, 727.92 and 460.74

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Solution

The fourth proportional to 526.35, 727.92 and 460.74 is: 637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.35 : 727.92 = 460.74 : x
  2. Step 2: Convert to fraction form
    526.35/727.92 = 460.74/x
  3. Step 3: Cross multiply
    526.35x = 727.92 × 460.74
  4. Step 4: Simplify right side
    526.35x = 335,381.86
  5. Step 5: Solve for x
    x = 335,381.86/526.35
  6. Step 6: Final answer
    x = 637.18

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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.