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Finding the Fourth Proportional to 460.24, 689.05 and 416.99

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Solution

The fourth proportional to 460.24, 689.05 and 416.99 is: 624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.24 : 689.05 = 416.99 : x
  2. Step 2: Convert to fraction form
    460.24/689.05 = 416.99/x
  3. Step 3: Cross multiply
    460.24x = 689.05 × 416.99
  4. Step 4: Simplify right side
    460.24x = 287,326.96
  5. Step 5: Solve for x
    x = 287,326.96/460.24
  6. Step 6: Final answer
    x = 624.30

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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.