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Finding the Fourth Proportional to 462.25, 637.85 and 263.01

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Solution

The fourth proportional to 462.25, 637.85 and 263.01 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 637.85 = 263.01 : x
  2. Step 2: Convert to fraction form
    462.25/637.85 = 263.01/x
  3. Step 3: Cross multiply
    462.25x = 637.85 × 263.01
  4. Step 4: Simplify right side
    462.25x = 167,760.93
  5. Step 5: Solve for x
    x = 167,760.93/462.25
  6. Step 6: Final answer
    x = 362.92

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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.