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Finding the Fourth Proportional to 508.80, 763.08 and 346.44

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Solution

The fourth proportional to 508.80, 763.08 and 346.44 is: 519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 763.08 = 346.44 : x
  2. Step 2: Convert to fraction form
    508.80/763.08 = 346.44/x
  3. Step 3: Cross multiply
    508.80x = 763.08 × 346.44
  4. Step 4: Simplify right side
    508.80x = 264,361.44
  5. Step 5: Solve for x
    x = 264,361.44/508.80
  6. Step 6: Final answer
    x = 519.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.