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Finding the Fourth Proportional to 442.36, 610.64 and 295.21

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Solution

The fourth proportional to 442.36, 610.64 and 295.21 is: 407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 610.64 = 295.21 : x
  2. Step 2: Convert to fraction form
    442.36/610.64 = 295.21/x
  3. Step 3: Cross multiply
    442.36x = 610.64 × 295.21
  4. Step 4: Simplify right side
    442.36x = 180,267.43
  5. Step 5: Solve for x
    x = 180,267.43/442.36
  6. Step 6: Final answer
    x = 407.51

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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.