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Finding the Fourth Proportional to 591.68, 813.10 and 564.58

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Solution

The fourth proportional to 591.68, 813.10 and 564.58 is: 775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.68 : 813.10 = 564.58 : x
  2. Step 2: Convert to fraction form
    591.68/813.10 = 564.58/x
  3. Step 3: Cross multiply
    591.68x = 813.10 × 564.58
  4. Step 4: Simplify right side
    591.68x = 459,060.00
  5. Step 5: Solve for x
    x = 459,060.00/591.68
  6. Step 6: Final answer
    x = 775.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.