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Finding the Fourth Proportional to 591.06, 886.38 and 282.75

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Solution

The fourth proportional to 591.06, 886.38 and 282.75 is: 424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 886.38 = 282.75 : x
  2. Step 2: Convert to fraction form
    591.06/886.38 = 282.75/x
  3. Step 3: Cross multiply
    591.06x = 886.38 × 282.75
  4. Step 4: Simplify right side
    591.06x = 250,623.95
  5. Step 5: Solve for x
    x = 250,623.95/591.06
  6. Step 6: Final answer
    x = 424.02

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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.