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Finding the Fourth Proportional to 463.77, 639.23 and 370.22

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Solution

The fourth proportional to 463.77, 639.23 and 370.22 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.77 : 639.23 = 370.22 : x
  2. Step 2: Convert to fraction form
    463.77/639.23 = 370.22/x
  3. Step 3: Cross multiply
    463.77x = 639.23 × 370.22
  4. Step 4: Simplify right side
    463.77x = 236,650.68
  5. Step 5: Solve for x
    x = 236,650.68/463.77
  6. Step 6: Final answer
    x = 510.28

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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.