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Finding the Fourth Proportional to 977.33, 1,466.09 and 274.54

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Solution

The fourth proportional to 977.33, 1,466.09 and 274.54 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.33 : 1,466.09 = 274.54 : x
  2. Step 2: Convert to fraction form
    977.33/1,466.09 = 274.54/x
  3. Step 3: Cross multiply
    977.33x = 1,466.09 × 274.54
  4. Step 4: Simplify right side
    977.33x = 402,503.38
  5. Step 5: Solve for x
    x = 402,503.38/977.33
  6. Step 6: Final answer
    x = 411.84

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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.