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Finding the Fourth Proportional to 591.10, 880.17 and 584.58

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Solution

The fourth proportional to 591.10, 880.17 and 584.58 is: 870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 880.17 = 584.58 : x
  2. Step 2: Convert to fraction form
    591.10/880.17 = 584.58/x
  3. Step 3: Cross multiply
    591.10x = 880.17 × 584.58
  4. Step 4: Simplify right side
    591.10x = 514,529.78
  5. Step 5: Solve for x
    x = 514,529.78/591.10
  6. Step 6: Final answer
    x = 870.46

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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.