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Finding the Fourth Proportional to 289.73, 432.66 and 284.87

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Solution

The fourth proportional to 289.73, 432.66 and 284.87 is: 425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.73 : 432.66 = 284.87 : x
  2. Step 2: Convert to fraction form
    289.73/432.66 = 284.87/x
  3. Step 3: Cross multiply
    289.73x = 432.66 × 284.87
  4. Step 4: Simplify right side
    289.73x = 123,249.69
  5. Step 5: Solve for x
    x = 123,249.69/289.73
  6. Step 6: Final answer
    x = 425.40

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