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Finding the Fourth Proportional to 518.14, 714.45 and 378.01

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Solution

The fourth proportional to 518.14, 714.45 and 378.01 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.14 : 714.45 = 378.01 : x
  2. Step 2: Convert to fraction form
    518.14/714.45 = 378.01/x
  3. Step 3: Cross multiply
    518.14x = 714.45 × 378.01
  4. Step 4: Simplify right side
    518.14x = 270,069.24
  5. Step 5: Solve for x
    x = 270,069.24/518.14
  6. Step 6: Final answer
    x = 521.23

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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.