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Finding the Fourth Proportional to 624.34, 861.57 and 362.35

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Solution

The fourth proportional to 624.34, 861.57 and 362.35 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.34 : 861.57 = 362.35 : x
  2. Step 2: Convert to fraction form
    624.34/861.57 = 362.35/x
  3. Step 3: Cross multiply
    624.34x = 861.57 × 362.35
  4. Step 4: Simplify right side
    624.34x = 312,189.89
  5. Step 5: Solve for x
    x = 312,189.89/624.34
  6. Step 6: Final answer
    x = 500.03

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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.