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Finding the Fourth Proportional to 624.96, 864 and 469.44

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Solution

The fourth proportional to 624.96, 864 and 469.44 is: 649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 864 = 469.44 : x
  2. Step 2: Convert to fraction form
    624.96/864 = 469.44/x
  3. Step 3: Cross multiply
    624.96x = 864 × 469.44
  4. Step 4: Simplify right side
    624.96x = 405,596.16
  5. Step 5: Solve for x
    x = 405,596.16/624.96
  6. Step 6: Final answer
    x = 649.00

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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.