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Finding the Fourth Proportional to 543.54, 749.91 and 347.17

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Solution

The fourth proportional to 543.54, 749.91 and 347.17 is: 478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.54 : 749.91 = 347.17 : x
  2. Step 2: Convert to fraction form
    543.54/749.91 = 347.17/x
  3. Step 3: Cross multiply
    543.54x = 749.91 × 347.17
  4. Step 4: Simplify right side
    543.54x = 260,345.14
  5. Step 5: Solve for x
    x = 260,345.14/543.54
  6. Step 6: Final answer
    x = 478.98

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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.