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Finding the Fourth Proportional to 460.95, 690.57 and 410.13

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Solution

The fourth proportional to 460.95, 690.57 and 410.13 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.95 : 690.57 = 410.13 : x
  2. Step 2: Convert to fraction form
    460.95/690.57 = 410.13/x
  3. Step 3: Cross multiply
    460.95x = 690.57 × 410.13
  4. Step 4: Simplify right side
    460.95x = 283,223.47
  5. Step 5: Solve for x
    x = 283,223.47/460.95
  6. Step 6: Final answer
    x = 614.43

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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.