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Finding the Fourth Proportional to 508.71, 762.98 and 234.74

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Solution

The fourth proportional to 508.71, 762.98 and 234.74 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 762.98 = 234.74 : x
  2. Step 2: Convert to fraction form
    508.71/762.98 = 234.74/x
  3. Step 3: Cross multiply
    508.71x = 762.98 × 234.74
  4. Step 4: Simplify right side
    508.71x = 179,104.42
  5. Step 5: Solve for x
    x = 179,104.42/508.71
  6. Step 6: Final answer
    x = 352.08

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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.