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Finding the Fourth Proportional to 411.08, 615.02 and 248.88

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Solution

The fourth proportional to 411.08, 615.02 and 248.88 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 615.02 = 248.88 : x
  2. Step 2: Convert to fraction form
    411.08/615.02 = 248.88/x
  3. Step 3: Cross multiply
    411.08x = 615.02 × 248.88
  4. Step 4: Simplify right side
    411.08x = 153,066.18
  5. Step 5: Solve for x
    x = 153,066.18/411.08
  6. Step 6: Final answer
    x = 372.35

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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.