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Finding the Fourth Proportional to 543.82, 750.81 and 419.24

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Solution

The fourth proportional to 543.82, 750.81 and 419.24 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 750.81 = 419.24 : x
  2. Step 2: Convert to fraction form
    543.82/750.81 = 419.24/x
  3. Step 3: Cross multiply
    543.82x = 750.81 × 419.24
  4. Step 4: Simplify right side
    543.82x = 314,769.58
  5. Step 5: Solve for x
    x = 314,769.58/543.82
  6. Step 6: Final answer
    x = 578.81

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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.