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Finding the Fourth Proportional to 508.55, 701.75 and 284.47

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Solution

The fourth proportional to 508.55, 701.75 and 284.47 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.55 : 701.75 = 284.47 : x
  2. Step 2: Convert to fraction form
    508.55/701.75 = 284.47/x
  3. Step 3: Cross multiply
    508.55x = 701.75 × 284.47
  4. Step 4: Simplify right side
    508.55x = 199,625.78
  5. Step 5: Solve for x
    x = 199,625.78/508.55
  6. Step 6: Final answer
    x = 392.54

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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.