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Finding the Fourth Proportional to 459.73, 689.69 and 216.10

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Solution

The fourth proportional to 459.73, 689.69 and 216.10 is: 324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 689.69 = 216.10 : x
  2. Step 2: Convert to fraction form
    459.73/689.69 = 216.10/x
  3. Step 3: Cross multiply
    459.73x = 689.69 × 216.10
  4. Step 4: Simplify right side
    459.73x = 149,042.01
  5. Step 5: Solve for x
    x = 149,042.01/459.73
  6. Step 6: Final answer
    x = 324.19

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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.