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Finding the Fourth Proportional to 591.34, 886.11 and 317.47

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Solution

The fourth proportional to 591.34, 886.11 and 317.47 is: 475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.34 : 886.11 = 317.47 : x
  2. Step 2: Convert to fraction form
    591.34/886.11 = 317.47/x
  3. Step 3: Cross multiply
    591.34x = 886.11 × 317.47
  4. Step 4: Simplify right side
    591.34x = 281,313.34
  5. Step 5: Solve for x
    x = 281,313.34/591.34
  6. Step 6: Final answer
    x = 475.72

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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.