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Finding the Fourth Proportional to 288.52, 432.22 and 256.12

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Solution

The fourth proportional to 288.52, 432.22 and 256.12 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 432.22 = 256.12 : x
  2. Step 2: Convert to fraction form
    288.52/432.22 = 256.12/x
  3. Step 3: Cross multiply
    288.52x = 432.22 × 256.12
  4. Step 4: Simplify right side
    288.52x = 110,700.19
  5. Step 5: Solve for x
    x = 110,700.19/288.52
  6. Step 6: Final answer
    x = 383.68

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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.