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Finding the Fourth Proportional to 587.76, 880.65 and 382.02

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Solution

The fourth proportional to 587.76, 880.65 and 382.02 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 880.65 = 382.02 : x
  2. Step 2: Convert to fraction form
    587.76/880.65 = 382.02/x
  3. Step 3: Cross multiply
    587.76x = 880.65 × 382.02
  4. Step 4: Simplify right side
    587.76x = 336,425.91
  5. Step 5: Solve for x
    x = 336,425.91/587.76
  6. Step 6: Final answer
    x = 572.39

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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.