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Finding the Fourth Proportional to 459.84, 689.40 and 216.48

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Solution

The fourth proportional to 459.84, 689.40 and 216.48 is: 324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 689.40 = 216.48 : x
  2. Step 2: Convert to fraction form
    459.84/689.40 = 216.48/x
  3. Step 3: Cross multiply
    459.84x = 689.40 × 216.48
  4. Step 4: Simplify right side
    459.84x = 149,241.31
  5. Step 5: Solve for x
    x = 149,241.31/459.84
  6. Step 6: Final answer
    x = 324.55

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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.