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Finding the Fourth Proportional to 288.66, 432.92 and 243.04

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Solution

The fourth proportional to 288.66, 432.92 and 243.04 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 432.92 = 243.04 : x
  2. Step 2: Convert to fraction form
    288.66/432.92 = 243.04/x
  3. Step 3: Cross multiply
    288.66x = 432.92 × 243.04
  4. Step 4: Simplify right side
    288.66x = 105,216.88
  5. Step 5: Solve for x
    x = 105,216.88/288.66
  6. Step 6: Final answer
    x = 364.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.