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Finding the Fourth Proportional to 580.99, 867.33 and 560.74

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Solution

The fourth proportional to 580.99, 867.33 and 560.74 is: 837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.99 : 867.33 = 560.74 : x
  2. Step 2: Convert to fraction form
    580.99/867.33 = 560.74/x
  3. Step 3: Cross multiply
    580.99x = 867.33 × 560.74
  4. Step 4: Simplify right side
    580.99x = 486,346.62
  5. Step 5: Solve for x
    x = 486,346.62/580.99
  6. Step 6: Final answer
    x = 837.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.