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Finding the Fourth Proportional to 474, 653.91 and 277.40

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Solution

The fourth proportional to 474, 653.91 and 277.40 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 653.91 = 277.40 : x
  2. Step 2: Convert to fraction form
    474/653.91 = 277.40/x
  3. Step 3: Cross multiply
    474x = 653.91 × 277.40
  4. Step 4: Simplify right side
    474x = 181,391.36
  5. Step 5: Solve for x
    x = 181,391.36/474
  6. Step 6: Final answer
    x = 382.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.