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Finding the Fourth Proportional to 979.36, 1,469.40 and 466

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Solution

The fourth proportional to 979.36, 1,469.40 and 466 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.36 : 1,469.40 = 466 : x
  2. Step 2: Convert to fraction form
    979.36/1,469.40 = 466/x
  3. Step 3: Cross multiply
    979.36x = 1,469.40 × 466
  4. Step 4: Simplify right side
    979.36x = 684,740.40
  5. Step 5: Solve for x
    x = 684,740.40/979.36
  6. Step 6: Final answer
    x = 699.17

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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.