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Finding the Fourth Proportional to 508.88, 763.70 and 265.38

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Solution

The fourth proportional to 508.88, 763.70 and 265.38 is: 398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.88 : 763.70 = 265.38 : x
  2. Step 2: Convert to fraction form
    508.88/763.70 = 265.38/x
  3. Step 3: Cross multiply
    508.88x = 763.70 × 265.38
  4. Step 4: Simplify right side
    508.88x = 202,670.71
  5. Step 5: Solve for x
    x = 202,670.71/508.88
  6. Step 6: Final answer
    x = 398.27

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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.