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Finding the Fourth Proportional to 591.88, 887.82 and 283.60

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Solution

The fourth proportional to 591.88, 887.82 and 283.60 is: 425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.88 : 887.82 = 283.60 : x
  2. Step 2: Convert to fraction form
    591.88/887.82 = 283.60/x
  3. Step 3: Cross multiply
    591.88x = 887.82 × 283.60
  4. Step 4: Simplify right side
    591.88x = 251,785.75
  5. Step 5: Solve for x
    x = 251,785.75/591.88
  6. Step 6: Final answer
    x = 425.40

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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.