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Finding the Fourth Proportional to 410.45, 615.40 and 248.45

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Solution

The fourth proportional to 410.45, 615.40 and 248.45 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 615.40 = 248.45 : x
  2. Step 2: Convert to fraction form
    410.45/615.40 = 248.45/x
  3. Step 3: Cross multiply
    410.45x = 615.40 × 248.45
  4. Step 4: Simplify right side
    410.45x = 152,892.43
  5. Step 5: Solve for x
    x = 152,892.43/410.45
  6. Step 6: Final answer
    x = 372.50

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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.