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Finding the Fourth Proportional to 678.77, 1,017.41 and 332.33

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Solution

The fourth proportional to 678.77, 1,017.41 and 332.33 is: 498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.77 : 1,017.41 = 332.33 : x
  2. Step 2: Convert to fraction form
    678.77/1,017.41 = 332.33/x
  3. Step 3: Cross multiply
    678.77x = 1,017.41 × 332.33
  4. Step 4: Simplify right side
    678.77x = 338,119.24
  5. Step 5: Solve for x
    x = 338,119.24/678.77
  6. Step 6: Final answer
    x = 498.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.