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Finding the Fourth Proportional to 288.72, 430.98 and 282.96

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Solution

The fourth proportional to 288.72, 430.98 and 282.96 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 430.98 = 282.96 : x
  2. Step 2: Convert to fraction form
    288.72/430.98 = 282.96/x
  3. Step 3: Cross multiply
    288.72x = 430.98 × 282.96
  4. Step 4: Simplify right side
    288.72x = 121,950.10
  5. Step 5: Solve for x
    x = 121,950.10/288.72
  6. Step 6: Final answer
    x = 422.38

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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.