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Finding the Fourth Proportional to 474.12, 653.85 and 356.04

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Solution

The fourth proportional to 474.12, 653.85 and 356.04 is: 491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 653.85 = 356.04 : x
  2. Step 2: Convert to fraction form
    474.12/653.85 = 356.04/x
  3. Step 3: Cross multiply
    474.12x = 653.85 × 356.04
  4. Step 4: Simplify right side
    474.12x = 232,796.75
  5. Step 5: Solve for x
    x = 232,796.75/474.12
  6. Step 6: Final answer
    x = 491.01

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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.