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Finding the Fourth Proportional to 474.18, 654.13 and 277.65

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Solution

The fourth proportional to 474.18, 654.13 and 277.65 is: 383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.18 : 654.13 = 277.65 : x
  2. Step 2: Convert to fraction form
    474.18/654.13 = 277.65/x
  3. Step 3: Cross multiply
    474.18x = 654.13 × 277.65
  4. Step 4: Simplify right side
    474.18x = 181,619.19
  5. Step 5: Solve for x
    x = 181,619.19/474.18
  6. Step 6: Final answer
    x = 383.02

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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.