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Finding the Fourth Proportional to 460.46, 689.88 and 410.24

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Solution

The fourth proportional to 460.46, 689.88 and 410.24 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 689.88 = 410.24 : x
  2. Step 2: Convert to fraction form
    460.46/689.88 = 410.24/x
  3. Step 3: Cross multiply
    460.46x = 689.88 × 410.24
  4. Step 4: Simplify right side
    460.46x = 283,016.37
  5. Step 5: Solve for x
    x = 283,016.37/460.46
  6. Step 6: Final answer
    x = 614.64

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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.