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Finding the Fourth Proportional to 612.61, 846.01 and 402.92

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Solution

The fourth proportional to 612.61, 846.01 and 402.92 is: 556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.61 : 846.01 = 402.92 : x
  2. Step 2: Convert to fraction form
    612.61/846.01 = 402.92/x
  3. Step 3: Cross multiply
    612.61x = 846.01 × 402.92
  4. Step 4: Simplify right side
    612.61x = 340,876.46
  5. Step 5: Solve for x
    x = 340,876.46/612.61
  6. Step 6: Final answer
    x = 556.43

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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.