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Finding the Fourth Proportional to 637.60, 956.40 and 493.60

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Solution

The fourth proportional to 637.60, 956.40 and 493.60 is: 740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.60 : 956.40 = 493.60 : x
  2. Step 2: Convert to fraction form
    637.60/956.40 = 493.60/x
  3. Step 3: Cross multiply
    637.60x = 956.40 × 493.60
  4. Step 4: Simplify right side
    637.60x = 472,079.04
  5. Step 5: Solve for x
    x = 472,079.04/637.60
  6. Step 6: Final answer
    x = 740.40

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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.