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Finding the Fourth Proportional to 462.69, 690.73 and 401.18

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Solution

The fourth proportional to 462.69, 690.73 and 401.18 is: 598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 690.73 = 401.18 : x
  2. Step 2: Convert to fraction form
    462.69/690.73 = 401.18/x
  3. Step 3: Cross multiply
    462.69x = 690.73 × 401.18
  4. Step 4: Simplify right side
    462.69x = 277,104.55
  5. Step 5: Solve for x
    x = 277,104.55/462.69
  6. Step 6: Final answer
    x = 598.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.