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Finding the Fourth Proportional to 508.34, 763.52 and 480.76

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Solution

The fourth proportional to 508.34, 763.52 and 480.76 is: 722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.34 : 763.52 = 480.76 : x
  2. Step 2: Convert to fraction form
    508.34/763.52 = 480.76/x
  3. Step 3: Cross multiply
    508.34x = 763.52 × 480.76
  4. Step 4: Simplify right side
    508.34x = 367,065.56
  5. Step 5: Solve for x
    x = 367,065.56/508.34
  6. Step 6: Final answer
    x = 722.08

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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.