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Finding the Fourth Proportional to 637.29, 956.14 and 290.77

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Solution

The fourth proportional to 637.29, 956.14 and 290.77 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.29 : 956.14 = 290.77 : x
  2. Step 2: Convert to fraction form
    637.29/956.14 = 290.77/x
  3. Step 3: Cross multiply
    637.29x = 956.14 × 290.77
  4. Step 4: Simplify right side
    637.29x = 278,013.71
  5. Step 5: Solve for x
    x = 278,013.71/637.29
  6. Step 6: Final answer
    x = 436.24

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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.