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Finding the Fourth Proportional to 628.24, 941.85 and 542.59

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Solution

The fourth proportional to 628.24, 941.85 and 542.59 is: 813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 941.85 = 542.59 : x
  2. Step 2: Convert to fraction form
    628.24/941.85 = 542.59/x
  3. Step 3: Cross multiply
    628.24x = 941.85 × 542.59
  4. Step 4: Simplify right side
    628.24x = 511,038.39
  5. Step 5: Solve for x
    x = 511,038.39/628.24
  6. Step 6: Final answer
    x = 813.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.