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Finding the Fourth Proportional to 977.38, 1,466.09 and 284.10

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Solution

The fourth proportional to 977.38, 1,466.09 and 284.10 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,466.09 = 284.10 : x
  2. Step 2: Convert to fraction form
    977.38/1,466.09 = 284.10/x
  3. Step 3: Cross multiply
    977.38x = 1,466.09 × 284.10
  4. Step 4: Simplify right side
    977.38x = 416,516.17
  5. Step 5: Solve for x
    x = 416,516.17/977.38
  6. Step 6: Final answer
    x = 426.16

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Why These Related Problems?

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