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Finding the Fourth Proportional to 624.68, 935.98 and 441.22

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Solution

The fourth proportional to 624.68, 935.98 and 441.22 is: 661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.68 : 935.98 = 441.22 : x
  2. Step 2: Convert to fraction form
    624.68/935.98 = 441.22/x
  3. Step 3: Cross multiply
    624.68x = 935.98 × 441.22
  4. Step 4: Simplify right side
    624.68x = 412,973.10
  5. Step 5: Solve for x
    x = 412,973.10/624.68
  6. Step 6: Final answer
    x = 661.10

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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.