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Finding the Fourth Proportional to 398.07, 596.07 and 288.18

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Solution

The fourth proportional to 398.07, 596.07 and 288.18 is: 431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.07 : 596.07 = 288.18 : x
  2. Step 2: Convert to fraction form
    398.07/596.07 = 288.18/x
  3. Step 3: Cross multiply
    398.07x = 596.07 × 288.18
  4. Step 4: Simplify right side
    398.07x = 171,775.45
  5. Step 5: Solve for x
    x = 171,775.45/398.07
  6. Step 6: Final answer
    x = 431.52

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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.