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Finding the Fourth Proportional to 977.57, 1,466.40 and 247.16

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Solution

The fourth proportional to 977.57, 1,466.40 and 247.16 is: 370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.57 : 1,466.40 = 247.16 : x
  2. Step 2: Convert to fraction form
    977.57/1,466.40 = 247.16/x
  3. Step 3: Cross multiply
    977.57x = 1,466.40 × 247.16
  4. Step 4: Simplify right side
    977.57x = 362,428.09
  5. Step 5: Solve for x
    x = 362,428.09/977.57
  6. Step 6: Final answer
    x = 370.75

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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.