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Finding the Fourth Proportional to 624.18, 861.66 and 465.06

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Solution

The fourth proportional to 624.18, 861.66 and 465.06 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.18 : 861.66 = 465.06 : x
  2. Step 2: Convert to fraction form
    624.18/861.66 = 465.06/x
  3. Step 3: Cross multiply
    624.18x = 861.66 × 465.06
  4. Step 4: Simplify right side
    624.18x = 400,723.60
  5. Step 5: Solve for x
    x = 400,723.60/624.18
  6. Step 6: Final answer
    x = 642.00

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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.