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Finding the Fourth Proportional to 508.80, 763.20 and 345.60

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Solution

The fourth proportional to 508.80, 763.20 and 345.60 is: 518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 763.20 = 345.60 : x
  2. Step 2: Convert to fraction form
    508.80/763.20 = 345.60/x
  3. Step 3: Cross multiply
    508.80x = 763.20 × 345.60
  4. Step 4: Simplify right side
    508.80x = 263,761.92
  5. Step 5: Solve for x
    x = 263,761.92/508.80
  6. Step 6: Final answer
    x = 518.40

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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.