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Finding the Fourth Proportional to 508.57, 701.78 and 284.50

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Solution

The fourth proportional to 508.57, 701.78 and 284.50 is: 392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.57 : 701.78 = 284.50 : x
  2. Step 2: Convert to fraction form
    508.57/701.78 = 284.50/x
  3. Step 3: Cross multiply
    508.57x = 701.78 × 284.50
  4. Step 4: Simplify right side
    508.57x = 199,651.48
  5. Step 5: Solve for x
    x = 199,651.48/508.57
  6. Step 6: Final answer
    x = 392.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.