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Finding the Fourth Proportional to 580.40, 869.52 and 494

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Solution

The fourth proportional to 580.40, 869.52 and 494 is: 740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 869.52 = 494 : x
  2. Step 2: Convert to fraction form
    580.40/869.52 = 494/x
  3. Step 3: Cross multiply
    580.40x = 869.52 × 494
  4. Step 4: Simplify right side
    580.40x = 429,542.88
  5. Step 5: Solve for x
    x = 429,542.88/580.40
  6. Step 6: Final answer
    x = 740.08

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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.