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Finding the Fourth Proportional to 461.62, 635.02 and 405.36

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Solution

The fourth proportional to 461.62, 635.02 and 405.36 is: 557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 635.02 = 405.36 : x
  2. Step 2: Convert to fraction form
    461.62/635.02 = 405.36/x
  3. Step 3: Cross multiply
    461.62x = 635.02 × 405.36
  4. Step 4: Simplify right side
    461.62x = 257,411.71
  5. Step 5: Solve for x
    x = 257,411.71/461.62
  6. Step 6: Final answer
    x = 557.63

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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.