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Finding the Fourth Proportional to 678.06, 935.76 and 491.46

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Solution

The fourth proportional to 678.06, 935.76 and 491.46 is: 678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.06 : 935.76 = 491.46 : x
  2. Step 2: Convert to fraction form
    678.06/935.76 = 491.46/x
  3. Step 3: Cross multiply
    678.06x = 935.76 × 491.46
  4. Step 4: Simplify right side
    678.06x = 459,888.61
  5. Step 5: Solve for x
    x = 459,888.61/678.06
  6. Step 6: Final answer
    x = 678.24

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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.