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Finding the Fourth Proportional to 591.83, 887.79 and 283.82

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Solution

The fourth proportional to 591.83, 887.79 and 283.82 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.83 : 887.79 = 283.82 : x
  2. Step 2: Convert to fraction form
    591.83/887.79 = 283.82/x
  3. Step 3: Cross multiply
    591.83x = 887.79 × 283.82
  4. Step 4: Simplify right side
    591.83x = 251,968.12
  5. Step 5: Solve for x
    x = 251,968.12/591.83
  6. Step 6: Final answer
    x = 425.75

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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.