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Finding the Fourth Proportional to 461.22, 637.02 and 350.50

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Solution

The fourth proportional to 461.22, 637.02 and 350.50 is: 484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 637.02 = 350.50 : x
  2. Step 2: Convert to fraction form
    461.22/637.02 = 350.50/x
  3. Step 3: Cross multiply
    461.22x = 637.02 × 350.50
  4. Step 4: Simplify right side
    461.22x = 223,275.51
  5. Step 5: Solve for x
    x = 223,275.51/461.22
  6. Step 6: Final answer
    x = 484.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.