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Finding the Fourth Proportional to 442.42, 611.01 and 405.56

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Solution

The fourth proportional to 442.42, 611.01 and 405.56 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.42 : 611.01 = 405.56 : x
  2. Step 2: Convert to fraction form
    442.42/611.01 = 405.56/x
  3. Step 3: Cross multiply
    442.42x = 611.01 × 405.56
  4. Step 4: Simplify right side
    442.42x = 247,802.74
  5. Step 5: Solve for x
    x = 247,802.74/442.42
  6. Step 6: Final answer
    x = 560.11

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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.