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Finding the Fourth Proportional to 591.32, 886.08 and 530.12

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Solution

The fourth proportional to 591.32, 886.08 and 530.12 is: 794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 886.08 = 530.12 : x
  2. Step 2: Convert to fraction form
    591.32/886.08 = 530.12/x
  3. Step 3: Cross multiply
    591.32x = 886.08 × 530.12
  4. Step 4: Simplify right side
    591.32x = 469,728.73
  5. Step 5: Solve for x
    x = 469,728.73/591.32
  6. Step 6: Final answer
    x = 794.37

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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.