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Finding the Fourth Proportional to 288.52, 430.61 and 265.80

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Solution

The fourth proportional to 288.52, 430.61 and 265.80 is: 396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 430.61 = 265.80 : x
  2. Step 2: Convert to fraction form
    288.52/430.61 = 265.80/x
  3. Step 3: Cross multiply
    288.52x = 430.61 × 265.80
  4. Step 4: Simplify right side
    288.52x = 114,456.14
  5. Step 5: Solve for x
    x = 114,456.14/288.52
  6. Step 6: Final answer
    x = 396.70

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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.