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Finding the Fourth Proportional to 624.09, 861.06 and 402.84

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Solution

The fourth proportional to 624.09, 861.06 and 402.84 is: 555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.09 : 861.06 = 402.84 : x
  2. Step 2: Convert to fraction form
    624.09/861.06 = 402.84/x
  3. Step 3: Cross multiply
    624.09x = 861.06 × 402.84
  4. Step 4: Simplify right side
    624.09x = 346,869.41
  5. Step 5: Solve for x
    x = 346,869.41/624.09
  6. Step 6: Final answer
    x = 555.80

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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.