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Finding the Fourth Proportional to 400.22, 598.95 and 366.04

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Solution

The fourth proportional to 400.22, 598.95 and 366.04 is: 547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 598.95 = 366.04 : x
  2. Step 2: Convert to fraction form
    400.22/598.95 = 366.04/x
  3. Step 3: Cross multiply
    400.22x = 598.95 × 366.04
  4. Step 4: Simplify right side
    400.22x = 219,239.66
  5. Step 5: Solve for x
    x = 219,239.66/400.22
  6. Step 6: Final answer
    x = 547.80

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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.