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Finding the Fourth Proportional to 398.23, 596.12 and 288.47

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Solution

The fourth proportional to 398.23, 596.12 and 288.47 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.23 : 596.12 = 288.47 : x
  2. Step 2: Convert to fraction form
    398.23/596.12 = 288.47/x
  3. Step 3: Cross multiply
    398.23x = 596.12 × 288.47
  4. Step 4: Simplify right side
    398.23x = 171,962.74
  5. Step 5: Solve for x
    x = 171,962.74/398.23
  6. Step 6: Final answer
    x = 431.82

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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.