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Finding the Fourth Proportional to 288.12, 432.42 and 259.42

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Solution

The fourth proportional to 288.12, 432.42 and 259.42 is: 389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.12 : 432.42 = 259.42 : x
  2. Step 2: Convert to fraction form
    288.12/432.42 = 259.42/x
  3. Step 3: Cross multiply
    288.12x = 432.42 × 259.42
  4. Step 4: Simplify right side
    288.12x = 112,178.61
  5. Step 5: Solve for x
    x = 112,178.61/288.12
  6. Step 6: Final answer
    x = 389.34

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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.