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Finding the Fourth Proportional to 462.40, 695.22 and 409.12

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Solution

The fourth proportional to 462.40, 695.22 and 409.12 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 695.22 = 409.12 : x
  2. Step 2: Convert to fraction form
    462.40/695.22 = 409.12/x
  3. Step 3: Cross multiply
    462.40x = 695.22 × 409.12
  4. Step 4: Simplify right side
    462.40x = 284,428.41
  5. Step 5: Solve for x
    x = 284,428.41/462.40
  6. Step 6: Final answer
    x = 615.11

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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.