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Finding the Fourth Proportional to 307.52, 460.59 and 286.14

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Solution

The fourth proportional to 307.52, 460.59 and 286.14 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 460.59 = 286.14 : x
  2. Step 2: Convert to fraction form
    307.52/460.59 = 286.14/x
  3. Step 3: Cross multiply
    307.52x = 460.59 × 286.14
  4. Step 4: Simplify right side
    307.52x = 131,793.22
  5. Step 5: Solve for x
    x = 131,793.22/307.52
  6. Step 6: Final answer
    x = 428.57

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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.