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Finding the Fourth Proportional to 580.89, 870.20 and 349.10

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Solution

The fourth proportional to 580.89, 870.20 and 349.10 is: 522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 870.20 = 349.10 : x
  2. Step 2: Convert to fraction form
    580.89/870.20 = 349.10/x
  3. Step 3: Cross multiply
    580.89x = 870.20 × 349.10
  4. Step 4: Simplify right side
    580.89x = 303,785.30
  5. Step 5: Solve for x
    x = 303,785.30/580.89
  6. Step 6: Final answer
    x = 522.96

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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.