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Finding the Fourth Proportional to 682.74, 941.58 and 542.70

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Solution

The fourth proportional to 682.74, 941.58 and 542.70 is: 748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.74 : 941.58 = 542.70 : x
  2. Step 2: Convert to fraction form
    682.74/941.58 = 542.70/x
  3. Step 3: Cross multiply
    682.74x = 941.58 × 542.70
  4. Step 4: Simplify right side
    682.74x = 510,995.47
  5. Step 5: Solve for x
    x = 510,995.47/682.74
  6. Step 6: Final answer
    x = 748.45

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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.