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Finding the Fourth Proportional to 459.80, 688.12 and 286.40

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Solution

The fourth proportional to 459.80, 688.12 and 286.40 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.80 : 688.12 = 286.40 : x
  2. Step 2: Convert to fraction form
    459.80/688.12 = 286.40/x
  3. Step 3: Cross multiply
    459.80x = 688.12 × 286.40
  4. Step 4: Simplify right side
    459.80x = 197,077.57
  5. Step 5: Solve for x
    x = 197,077.57/459.80
  6. Step 6: Final answer
    x = 428.62

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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.