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Finding the Fourth Proportional to 288.27, 430.85 and 265.21

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Solution

The fourth proportional to 288.27, 430.85 and 265.21 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.27 : 430.85 = 265.21 : x
  2. Step 2: Convert to fraction form
    288.27/430.85 = 265.21/x
  3. Step 3: Cross multiply
    288.27x = 430.85 × 265.21
  4. Step 4: Simplify right side
    288.27x = 114,265.31
  5. Step 5: Solve for x
    x = 114,265.31/288.27
  6. Step 6: Final answer
    x = 396.38

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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.