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Finding the Fourth Proportional to 474.81, 654.93 and 278.25

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Solution

The fourth proportional to 474.81, 654.93 and 278.25 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.81 : 654.93 = 278.25 : x
  2. Step 2: Convert to fraction form
    474.81/654.93 = 278.25/x
  3. Step 3: Cross multiply
    474.81x = 654.93 × 278.25
  4. Step 4: Simplify right side
    474.81x = 182,234.27
  5. Step 5: Solve for x
    x = 182,234.27/474.81
  6. Step 6: Final answer
    x = 383.80

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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.