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Finding the Fourth Proportional to 543.97, 750.67 and 307.95

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Solution

The fourth proportional to 543.97, 750.67 and 307.95 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.97 : 750.67 = 307.95 : x
  2. Step 2: Convert to fraction form
    543.97/750.67 = 307.95/x
  3. Step 3: Cross multiply
    543.97x = 750.67 × 307.95
  4. Step 4: Simplify right side
    543.97x = 231,168.83
  5. Step 5: Solve for x
    x = 231,168.83/543.97
  6. Step 6: Final answer
    x = 424.97

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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.