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Finding the Fourth Proportional to 398.07, 596.07 and 260.71

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Solution

The fourth proportional to 398.07, 596.07 and 260.71 is: 390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.07 : 596.07 = 260.71 : x
  2. Step 2: Convert to fraction form
    398.07/596.07 = 260.71/x
  3. Step 3: Cross multiply
    398.07x = 596.07 × 260.71
  4. Step 4: Simplify right side
    398.07x = 155,401.41
  5. Step 5: Solve for x
    x = 155,401.41/398.07
  6. Step 6: Final answer
    x = 390.39

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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.