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Finding the Fourth Proportional to 637.54, 877.71 and 497.50

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Solution

The fourth proportional to 637.54, 877.71 and 497.50 is: 684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.54 : 877.71 = 497.50 : x
  2. Step 2: Convert to fraction form
    637.54/877.71 = 497.50/x
  3. Step 3: Cross multiply
    637.54x = 877.71 × 497.50
  4. Step 4: Simplify right side
    637.54x = 436,660.73
  5. Step 5: Solve for x
    x = 436,660.73/637.54
  6. Step 6: Final answer
    x = 684.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.