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Finding the Fourth Proportional to 518.40, 714.76 and 387.18

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Solution

The fourth proportional to 518.40, 714.76 and 387.18 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 714.76 = 387.18 : x
  2. Step 2: Convert to fraction form
    518.40/714.76 = 387.18/x
  3. Step 3: Cross multiply
    518.40x = 714.76 × 387.18
  4. Step 4: Simplify right side
    518.40x = 276,740.78
  5. Step 5: Solve for x
    x = 276,740.78/518.40
  6. Step 6: Final answer
    x = 533.84

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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.