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Finding the Fourth Proportional to 678.06, 934.04 and 491.01

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Solution

The fourth proportional to 678.06, 934.04 and 491.01 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.06 : 934.04 = 491.01 : x
  2. Step 2: Convert to fraction form
    678.06/934.04 = 491.01/x
  3. Step 3: Cross multiply
    678.06x = 934.04 × 491.01
  4. Step 4: Simplify right side
    678.06x = 458,620.53
  5. Step 5: Solve for x
    x = 458,620.53/678.06
  6. Step 6: Final answer
    x = 676.37

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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.