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Finding the Fourth Proportional to 474.43, 710.62 and 268.72

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Solution

The fourth proportional to 474.43, 710.62 and 268.72 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.43 : 710.62 = 268.72 : x
  2. Step 2: Convert to fraction form
    474.43/710.62 = 268.72/x
  3. Step 3: Cross multiply
    474.43x = 710.62 × 268.72
  4. Step 4: Simplify right side
    474.43x = 190,957.81
  5. Step 5: Solve for x
    x = 190,957.81/474.43
  6. Step 6: Final answer
    x = 402.50

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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.