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Finding the Fourth Proportional to 580.62, 869.88 and 385.16

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Solution

The fourth proportional to 580.62, 869.88 and 385.16 is: 577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.62 : 869.88 = 385.16 : x
  2. Step 2: Convert to fraction form
    580.62/869.88 = 385.16/x
  3. Step 3: Cross multiply
    580.62x = 869.88 × 385.16
  4. Step 4: Simplify right side
    580.62x = 335,036.71
  5. Step 5: Solve for x
    x = 335,036.71/580.62
  6. Step 6: Final answer
    x = 577.04

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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.