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Finding the Fourth Proportional to 543.08, 749.30 and 346.59

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Solution

The fourth proportional to 543.08, 749.30 and 346.59 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.08 : 749.30 = 346.59 : x
  2. Step 2: Convert to fraction form
    543.08/749.30 = 346.59/x
  3. Step 3: Cross multiply
    543.08x = 749.30 × 346.59
  4. Step 4: Simplify right side
    543.08x = 259,698.15
  5. Step 5: Solve for x
    x = 259,698.15/543.08
  6. Step 6: Final answer
    x = 478.19

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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.