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Finding the Fourth Proportional to 623.97, 861.10 and 362.00

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Solution

The fourth proportional to 623.97, 861.10 and 362.00 is: 499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.97 : 861.10 = 362.00 : x
  2. Step 2: Convert to fraction form
    623.97/861.10 = 362.00/x
  3. Step 3: Cross multiply
    623.97x = 861.10 × 362.00
  4. Step 4: Simplify right side
    623.97x = 311,719.45
  5. Step 5: Solve for x
    x = 311,719.45/623.97
  6. Step 6: Final answer
    x = 499.57

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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.