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Finding the Fourth Proportional to 519.08, 714.19 and 394.01

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Solution

The fourth proportional to 519.08, 714.19 and 394.01 is: 542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.08 : 714.19 = 394.01 : x
  2. Step 2: Convert to fraction form
    519.08/714.19 = 394.01/x
  3. Step 3: Cross multiply
    519.08x = 714.19 × 394.01
  4. Step 4: Simplify right side
    519.08x = 281,398.31
  5. Step 5: Solve for x
    x = 281,398.31/519.08
  6. Step 6: Final answer
    x = 542.11

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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.