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Finding the Fourth Proportional to 678.44, 936.51 and 501.10

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Solution

The fourth proportional to 678.44, 936.51 and 501.10 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.44 : 936.51 = 501.10 : x
  2. Step 2: Convert to fraction form
    678.44/936.51 = 501.10/x
  3. Step 3: Cross multiply
    678.44x = 936.51 × 501.10
  4. Step 4: Simplify right side
    678.44x = 469,285.16
  5. Step 5: Solve for x
    x = 469,285.16/678.44
  6. Step 6: Final answer
    x = 691.71

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