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Finding the Fourth Proportional to 637.34, 956.43 and 312.71

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Solution

The fourth proportional to 637.34, 956.43 and 312.71 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.34 : 956.43 = 312.71 : x
  2. Step 2: Convert to fraction form
    637.34/956.43 = 312.71/x
  3. Step 3: Cross multiply
    637.34x = 956.43 × 312.71
  4. Step 4: Simplify right side
    637.34x = 299,080.44
  5. Step 5: Solve for x
    x = 299,080.44/637.34
  6. Step 6: Final answer
    x = 469.27

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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.