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Finding the Fourth Proportional to 587.88, 880.95 and 443.70

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Solution

The fourth proportional to 587.88, 880.95 and 443.70 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.88 : 880.95 = 443.70 : x
  2. Step 2: Convert to fraction form
    587.88/880.95 = 443.70/x
  3. Step 3: Cross multiply
    587.88x = 880.95 × 443.70
  4. Step 4: Simplify right side
    587.88x = 390,877.52
  5. Step 5: Solve for x
    x = 390,877.52/587.88
  6. Step 6: Final answer
    x = 664.89

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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.