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Finding the Fourth Proportional to 624.48, 937.34 and 461.68

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Solution

The fourth proportional to 624.48, 937.34 and 461.68 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 937.34 = 461.68 : x
  2. Step 2: Convert to fraction form
    624.48/937.34 = 461.68/x
  3. Step 3: Cross multiply
    624.48x = 937.34 × 461.68
  4. Step 4: Simplify right side
    624.48x = 432,751.13
  5. Step 5: Solve for x
    x = 432,751.13/624.48
  6. Step 6: Final answer
    x = 692.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.