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Finding the Fourth Proportional to 464.49, 695.97 and 361.52

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Solution

The fourth proportional to 464.49, 695.97 and 361.52 is: 541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 695.97 = 361.52 : x
  2. Step 2: Convert to fraction form
    464.49/695.97 = 361.52/x
  3. Step 3: Cross multiply
    464.49x = 695.97 × 361.52
  4. Step 4: Simplify right side
    464.49x = 251,603.59
  5. Step 5: Solve for x
    x = 251,603.59/464.49
  6. Step 6: Final answer
    x = 541.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.