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Finding the Fourth Proportional to 624.26, 861.41 and 362.22

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Solution

The fourth proportional to 624.26, 861.41 and 362.22 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.26 : 861.41 = 362.22 : x
  2. Step 2: Convert to fraction form
    624.26/861.41 = 362.22/x
  3. Step 3: Cross multiply
    624.26x = 861.41 × 362.22
  4. Step 4: Simplify right side
    624.26x = 312,018.12
  5. Step 5: Solve for x
    x = 312,018.12/624.26
  6. Step 6: Final answer
    x = 499.82

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1.5x scale

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.