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Finding the Fourth Proportional to 345.60, 519.04 and 308.48

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Solution

The fourth proportional to 345.60, 519.04 and 308.48 is: 463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 519.04 = 308.48 : x
  2. Step 2: Convert to fraction form
    345.60/519.04 = 308.48/x
  3. Step 3: Cross multiply
    345.60x = 519.04 × 308.48
  4. Step 4: Simplify right side
    345.60x = 160,113.46
  5. Step 5: Solve for x
    x = 160,113.46/345.60
  6. Step 6: Final answer
    x = 463.29

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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.