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Finding the Fourth Proportional to 678.23, 935.97 and 398.47

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Solution

The fourth proportional to 678.23, 935.97 and 398.47 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 935.97 = 398.47 : x
  2. Step 2: Convert to fraction form
    678.23/935.97 = 398.47/x
  3. Step 3: Cross multiply
    678.23x = 935.97 × 398.47
  4. Step 4: Simplify right side
    678.23x = 372,953.89
  5. Step 5: Solve for x
    x = 372,953.89/678.23
  6. Step 6: Final answer
    x = 549.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.