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Finding the Fourth Proportional to 587.48, 880.44 and 472.16

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Solution

The fourth proportional to 587.48, 880.44 and 472.16 is: 707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 880.44 = 472.16 : x
  2. Step 2: Convert to fraction form
    587.48/880.44 = 472.16/x
  3. Step 3: Cross multiply
    587.48x = 880.44 × 472.16
  4. Step 4: Simplify right side
    587.48x = 415,708.55
  5. Step 5: Solve for x
    x = 415,708.55/587.48
  6. Step 6: Final answer
    x = 707.61

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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.