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Finding the Fourth Proportional to 591.96, 886.58 and 284.03

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Solution

The fourth proportional to 591.96, 886.58 and 284.03 is: 425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 886.58 = 284.03 : x
  2. Step 2: Convert to fraction form
    591.96/886.58 = 284.03/x
  3. Step 3: Cross multiply
    591.96x = 886.58 × 284.03
  4. Step 4: Simplify right side
    591.96x = 251,809.46
  5. Step 5: Solve for x
    x = 251,809.46/591.96
  6. Step 6: Final answer
    x = 425.39

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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.