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Finding the Fourth Proportional to 398.76, 597.34 and 275.06

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Solution

The fourth proportional to 398.76, 597.34 and 275.06 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.76 : 597.34 = 275.06 : x
  2. Step 2: Convert to fraction form
    398.76/597.34 = 275.06/x
  3. Step 3: Cross multiply
    398.76x = 597.34 × 275.06
  4. Step 4: Simplify right side
    398.76x = 164,304.34
  5. Step 5: Solve for x
    x = 164,304.34/398.76
  6. Step 6: Final answer
    x = 412.04

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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.