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Finding the Fourth Proportional to 591.55, 886.18 and 460.94

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Solution

The fourth proportional to 591.55, 886.18 and 460.94 is: 690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.55 : 886.18 = 460.94 : x
  2. Step 2: Convert to fraction form
    591.55/886.18 = 460.94/x
  3. Step 3: Cross multiply
    591.55x = 886.18 × 460.94
  4. Step 4: Simplify right side
    591.55x = 408,471.38
  5. Step 5: Solve for x
    x = 408,471.38/591.55
  6. Step 6: Final answer
    x = 690.52

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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.