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Finding the Fourth Proportional to 442.26, 610.20 and 295.10

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Solution

The fourth proportional to 442.26, 610.20 and 295.10 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 610.20 = 295.10 : x
  2. Step 2: Convert to fraction form
    442.26/610.20 = 295.10/x
  3. Step 3: Cross multiply
    442.26x = 610.20 × 295.10
  4. Step 4: Simplify right side
    442.26x = 180,070.02
  5. Step 5: Solve for x
    x = 180,070.02/442.26
  6. Step 6: Final answer
    x = 407.16

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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.