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Finding the Fourth Proportional to 410.46, 615.42 and 264.30

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Solution

The fourth proportional to 410.46, 615.42 and 264.30 is: 396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 615.42 = 264.30 : x
  2. Step 2: Convert to fraction form
    410.46/615.42 = 264.30/x
  3. Step 3: Cross multiply
    410.46x = 615.42 × 264.30
  4. Step 4: Simplify right side
    410.46x = 162,655.51
  5. Step 5: Solve for x
    x = 162,655.51/410.46
  6. Step 6: Final answer
    x = 396.28

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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.