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Finding the Fourth Proportional to 491.86, 677.20 and 458.74

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Solution

The fourth proportional to 491.86, 677.20 and 458.74 is: 631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 677.20 = 458.74 : x
  2. Step 2: Convert to fraction form
    491.86/677.20 = 458.74/x
  3. Step 3: Cross multiply
    491.86x = 677.20 × 458.74
  4. Step 4: Simplify right side
    491.86x = 310,658.73
  5. Step 5: Solve for x
    x = 310,658.73/491.86
  6. Step 6: Final answer
    x = 631.60

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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.