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Finding the Fourth Proportional to 637.71, 880 and 357.94

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Solution

The fourth proportional to 637.71, 880 and 357.94 is: 493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.71 : 880 = 357.94 : x
  2. Step 2: Convert to fraction form
    637.71/880 = 357.94/x
  3. Step 3: Cross multiply
    637.71x = 880 × 357.94
  4. Step 4: Simplify right side
    637.71x = 314,987.20
  5. Step 5: Solve for x
    x = 314,987.20/637.71
  6. Step 6: Final answer
    x = 493.93

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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.