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Finding the Fourth Proportional to 288.32, 429.44 and 284.52

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Solution

The fourth proportional to 288.32, 429.44 and 284.52 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 429.44 = 284.52 : x
  2. Step 2: Convert to fraction form
    288.32/429.44 = 284.52/x
  3. Step 3: Cross multiply
    288.32x = 429.44 × 284.52
  4. Step 4: Simplify right side
    288.32x = 122,184.27
  5. Step 5: Solve for x
    x = 122,184.27/288.32
  6. Step 6: Final answer
    x = 423.78

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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.