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Finding the Fourth Proportional to 474.49, 654.04 and 381.07

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Solution

The fourth proportional to 474.49, 654.04 and 381.07 is: 525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.49 : 654.04 = 381.07 : x
  2. Step 2: Convert to fraction form
    474.49/654.04 = 381.07/x
  3. Step 3: Cross multiply
    474.49x = 654.04 × 381.07
  4. Step 4: Simplify right side
    474.49x = 249,235.02
  5. Step 5: Solve for x
    x = 249,235.02/474.49
  6. Step 6: Final answer
    x = 525.27

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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.