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Finding the Fourth Proportional to 307.53, 458.33 and 289.76

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Solution

The fourth proportional to 307.53, 458.33 and 289.76 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 458.33 = 289.76 : x
  2. Step 2: Convert to fraction form
    307.53/458.33 = 289.76/x
  3. Step 3: Cross multiply
    307.53x = 458.33 × 289.76
  4. Step 4: Simplify right side
    307.53x = 132,801.96
  5. Step 5: Solve for x
    x = 132,801.96/307.53
  6. Step 6: Final answer
    x = 431.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.