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Finding the Fourth Proportional to 591, 880.26 and 560.16

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Solution

The fourth proportional to 591, 880.26 and 560.16 is: 834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 880.26 = 560.16 : x
  2. Step 2: Convert to fraction form
    591/880.26 = 560.16/x
  3. Step 3: Cross multiply
    591x = 880.26 × 560.16
  4. Step 4: Simplify right side
    591x = 493,086.44
  5. Step 5: Solve for x
    x = 493,086.44/591
  6. Step 6: Final answer
    x = 834.33

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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.