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Finding the Fourth Proportional to 288.05, 429.29 and 281.87

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Solution

The fourth proportional to 288.05, 429.29 and 281.87 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 429.29 = 281.87 : x
  2. Step 2: Convert to fraction form
    288.05/429.29 = 281.87/x
  3. Step 3: Cross multiply
    288.05x = 429.29 × 281.87
  4. Step 4: Simplify right side
    288.05x = 121,000.42
  5. Step 5: Solve for x
    x = 121,000.42/288.05
  6. Step 6: Final answer
    x = 420.07

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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.