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Finding the Fourth Proportional to 459.20, 689.14 and 286.12

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Solution

The fourth proportional to 459.20, 689.14 and 286.12 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 689.14 = 286.12 : x
  2. Step 2: Convert to fraction form
    459.20/689.14 = 286.12/x
  3. Step 3: Cross multiply
    459.20x = 689.14 × 286.12
  4. Step 4: Simplify right side
    459.20x = 197,176.74
  5. Step 5: Solve for x
    x = 197,176.74/459.20
  6. Step 6: Final answer
    x = 429.39

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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.