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Finding the Fourth Proportional to 984.18, 1,476.30 and 407.10

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Solution

The fourth proportional to 984.18, 1,476.30 and 407.10 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.18 : 1,476.30 = 407.10 : x
  2. Step 2: Convert to fraction form
    984.18/1,476.30 = 407.10/x
  3. Step 3: Cross multiply
    984.18x = 1,476.30 × 407.10
  4. Step 4: Simplify right side
    984.18x = 601,001.73
  5. Step 5: Solve for x
    x = 601,001.73/984.18
  6. Step 6: Final answer
    x = 610.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.