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Finding the Fourth Proportional to 678.13, 935.37 and 468.31

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Solution

The fourth proportional to 678.13, 935.37 and 468.31 is: 645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.13 : 935.37 = 468.31 : x
  2. Step 2: Convert to fraction form
    678.13/935.37 = 468.31/x
  3. Step 3: Cross multiply
    678.13x = 935.37 × 468.31
  4. Step 4: Simplify right side
    678.13x = 438,043.12
  5. Step 5: Solve for x
    x = 438,043.12/678.13
  6. Step 6: Final answer
    x = 645.96

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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.