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Finding the Fourth Proportional to 543.46, 749.41 and 419.14

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Solution

The fourth proportional to 543.46, 749.41 and 419.14 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.46 : 749.41 = 419.14 : x
  2. Step 2: Convert to fraction form
    543.46/749.41 = 419.14/x
  3. Step 3: Cross multiply
    543.46x = 749.41 × 419.14
  4. Step 4: Simplify right side
    543.46x = 314,107.71
  5. Step 5: Solve for x
    x = 314,107.71/543.46
  6. Step 6: Final answer
    x = 577.98

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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.