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Finding the Fourth Proportional to 543.83, 749.97 and 347.00

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Solution

The fourth proportional to 543.83, 749.97 and 347.00 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.83 : 749.97 = 347.00 : x
  2. Step 2: Convert to fraction form
    543.83/749.97 = 347.00/x
  3. Step 3: Cross multiply
    543.83x = 749.97 × 347.00
  4. Step 4: Simplify right side
    543.83x = 260,235.84
  5. Step 5: Solve for x
    x = 260,235.84/543.83
  6. Step 6: Final answer
    x = 478.53

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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.