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Finding the Fourth Proportional to 442.18, 660.03 and 410.06

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Solution

The fourth proportional to 442.18, 660.03 and 410.06 is: 612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.18 : 660.03 = 410.06 : x
  2. Step 2: Convert to fraction form
    442.18/660.03 = 410.06/x
  3. Step 3: Cross multiply
    442.18x = 660.03 × 410.06
  4. Step 4: Simplify right side
    442.18x = 270,649.63
  5. Step 5: Solve for x
    x = 270,649.63/442.18
  6. Step 6: Final answer
    x = 612.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.