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Finding the Fourth Proportional to 473.98, 654.15 and 277.66

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Solution

The fourth proportional to 473.98, 654.15 and 277.66 is: 383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 654.15 = 277.66 : x
  2. Step 2: Convert to fraction form
    473.98/654.15 = 277.66/x
  3. Step 3: Cross multiply
    473.98x = 654.15 × 277.66
  4. Step 4: Simplify right side
    473.98x = 181,628.27
  5. Step 5: Solve for x
    x = 181,628.27/473.98
  6. Step 6: Final answer
    x = 383.20

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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.