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Finding the Fourth Proportional to 463.54, 640.53 and 308.50

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Solution

The fourth proportional to 463.54, 640.53 and 308.50 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.54 : 640.53 = 308.50 : x
  2. Step 2: Convert to fraction form
    463.54/640.53 = 308.50/x
  3. Step 3: Cross multiply
    463.54x = 640.53 × 308.50
  4. Step 4: Simplify right side
    463.54x = 197,603.51
  5. Step 5: Solve for x
    x = 197,603.51/463.54
  6. Step 6: Final answer
    x = 426.29

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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.