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Finding the Fourth Proportional to 543.66, 750.22 and 294.97

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Solution

The fourth proportional to 543.66, 750.22 and 294.97 is: 407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.66 : 750.22 = 294.97 : x
  2. Step 2: Convert to fraction form
    543.66/750.22 = 294.97/x
  3. Step 3: Cross multiply
    543.66x = 750.22 × 294.97
  4. Step 4: Simplify right side
    543.66x = 221,290.87
  5. Step 5: Solve for x
    x = 221,290.87/543.66
  6. Step 6: Final answer
    x = 407.04

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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.