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Finding the Fourth Proportional to 459.75, 689.64 and 216.10

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Solution

The fourth proportional to 459.75, 689.64 and 216.10 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 689.64 = 216.10 : x
  2. Step 2: Convert to fraction form
    459.75/689.64 = 216.10/x
  3. Step 3: Cross multiply
    459.75x = 689.64 × 216.10
  4. Step 4: Simplify right side
    459.75x = 149,032.93
  5. Step 5: Solve for x
    x = 149,032.93/459.75
  6. Step 6: Final answer
    x = 324.16

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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.