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Finding the Fourth Proportional to 583.60, 874.60 and 439.16

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Solution

The fourth proportional to 583.60, 874.60 and 439.16 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.60 : 874.60 = 439.16 : x
  2. Step 2: Convert to fraction form
    583.60/874.60 = 439.16/x
  3. Step 3: Cross multiply
    583.60x = 874.60 × 439.16
  4. Step 4: Simplify right side
    583.60x = 384,089.34
  5. Step 5: Solve for x
    x = 384,089.34/583.60
  6. Step 6: Final answer
    x = 658.14

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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.