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Finding the Fourth Proportional to 459.25, 689.11 and 228.13

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Solution

The fourth proportional to 459.25, 689.11 and 228.13 is: 342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 689.11 = 228.13 : x
  2. Step 2: Convert to fraction form
    459.25/689.11 = 228.13/x
  3. Step 3: Cross multiply
    459.25x = 689.11 × 228.13
  4. Step 4: Simplify right side
    459.25x = 157,205.52
  5. Step 5: Solve for x
    x = 157,205.52/459.25
  6. Step 6: Final answer
    x = 342.31

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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.