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Finding the Fourth Proportional to 543.58, 749.62 and 346.74

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Solution

The fourth proportional to 543.58, 749.62 and 346.74 is: 478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.58 : 749.62 = 346.74 : x
  2. Step 2: Convert to fraction form
    543.58/749.62 = 346.74/x
  3. Step 3: Cross multiply
    543.58x = 749.62 × 346.74
  4. Step 4: Simplify right side
    543.58x = 259,923.24
  5. Step 5: Solve for x
    x = 259,923.24/543.58
  6. Step 6: Final answer
    x = 478.17

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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.