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Finding the Fourth Proportional to 518.05, 714.90 and 285.18

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Solution

The fourth proportional to 518.05, 714.90 and 285.18 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.05 : 714.90 = 285.18 : x
  2. Step 2: Convert to fraction form
    518.05/714.90 = 285.18/x
  3. Step 3: Cross multiply
    518.05x = 714.90 × 285.18
  4. Step 4: Simplify right side
    518.05x = 203,875.18
  5. Step 5: Solve for x
    x = 203,875.18/518.05
  6. Step 6: Final answer
    x = 393.54

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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.