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Finding the Fourth Proportional to 474.04, 654.40 and 299.46

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Solution

The fourth proportional to 474.04, 654.40 and 299.46 is: 413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.04 : 654.40 = 299.46 : x
  2. Step 2: Convert to fraction form
    474.04/654.40 = 299.46/x
  3. Step 3: Cross multiply
    474.04x = 654.40 × 299.46
  4. Step 4: Simplify right side
    474.04x = 195,966.62
  5. Step 5: Solve for x
    x = 195,966.62/474.04
  6. Step 6: Final answer
    x = 413.40

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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.