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Finding the Fourth Proportional to 587.32, 881.98 and 489.72

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Solution

The fourth proportional to 587.32, 881.98 and 489.72 is: 735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.32 : 881.98 = 489.72 : x
  2. Step 2: Convert to fraction form
    587.32/881.98 = 489.72/x
  3. Step 3: Cross multiply
    587.32x = 881.98 × 489.72
  4. Step 4: Simplify right side
    587.32x = 431,923.25
  5. Step 5: Solve for x
    x = 431,923.25/587.32
  6. Step 6: Final answer
    x = 735.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.