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Finding the Fourth Proportional to 587.32, 879.60 and 414.16

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Solution

The fourth proportional to 587.32, 879.60 and 414.16 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.32 : 879.60 = 414.16 : x
  2. Step 2: Convert to fraction form
    587.32/879.60 = 414.16/x
  3. Step 3: Cross multiply
    587.32x = 879.60 × 414.16
  4. Step 4: Simplify right side
    587.32x = 364,295.14
  5. Step 5: Solve for x
    x = 364,295.14/587.32
  6. Step 6: Final answer
    x = 620.27

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Why These Related Problems?

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