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Finding the Fourth Proportional to 612.62, 843.70 and 508.16

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Solution

The fourth proportional to 612.62, 843.70 and 508.16 is: 699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.62 : 843.70 = 508.16 : x
  2. Step 2: Convert to fraction form
    612.62/843.70 = 508.16/x
  3. Step 3: Cross multiply
    612.62x = 843.70 × 508.16
  4. Step 4: Simplify right side
    612.62x = 428,729.10
  5. Step 5: Solve for x
    x = 428,729.10/612.62
  6. Step 6: Final answer
    x = 699.83

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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.