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Finding the Fourth Proportional to 288.28, 430.30 and 268.24

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Solution

The fourth proportional to 288.28, 430.30 and 268.24 is: 400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 430.30 = 268.24 : x
  2. Step 2: Convert to fraction form
    288.28/430.30 = 268.24/x
  3. Step 3: Cross multiply
    288.28x = 430.30 × 268.24
  4. Step 4: Simplify right side
    288.28x = 115,423.67
  5. Step 5: Solve for x
    x = 115,423.67/288.28
  6. Step 6: Final answer
    x = 400.39

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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.