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Finding the Fourth Proportional to 474.12, 709.11 and 414.18

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Solution

The fourth proportional to 474.12, 709.11 and 414.18 is: 619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 709.11 = 414.18 : x
  2. Step 2: Convert to fraction form
    474.12/709.11 = 414.18/x
  3. Step 3: Cross multiply
    474.12x = 709.11 × 414.18
  4. Step 4: Simplify right side
    474.12x = 293,699.18
  5. Step 5: Solve for x
    x = 293,699.18/474.12
  6. Step 6: Final answer
    x = 619.46

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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.