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Finding the Fourth Proportional to 410.17, 615.27 and 328.63

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Solution

The fourth proportional to 410.17, 615.27 and 328.63 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.17 : 615.27 = 328.63 : x
  2. Step 2: Convert to fraction form
    410.17/615.27 = 328.63/x
  3. Step 3: Cross multiply
    410.17x = 615.27 × 328.63
  4. Step 4: Simplify right side
    410.17x = 202,196.18
  5. Step 5: Solve for x
    x = 202,196.18/410.17
  6. Step 6: Final answer
    x = 492.96

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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.