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Finding the Fourth Proportional to 580.84, 869.10 and 349.90

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Solution

The fourth proportional to 580.84, 869.10 and 349.90 is: 523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 869.10 = 349.90 : x
  2. Step 2: Convert to fraction form
    580.84/869.10 = 349.90/x
  3. Step 3: Cross multiply
    580.84x = 869.10 × 349.90
  4. Step 4: Simplify right side
    580.84x = 304,098.09
  5. Step 5: Solve for x
    x = 304,098.09/580.84
  6. Step 6: Final answer
    x = 523.55

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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.