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Finding the Fourth Proportional to 536.13, 740.46 and 361.17

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Solution

The fourth proportional to 536.13, 740.46 and 361.17 is: 498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.13 : 740.46 = 361.17 : x
  2. Step 2: Convert to fraction form
    536.13/740.46 = 361.17/x
  3. Step 3: Cross multiply
    536.13x = 740.46 × 361.17
  4. Step 4: Simplify right side
    536.13x = 267,431.94
  5. Step 5: Solve for x
    x = 267,431.94/536.13
  6. Step 6: Final answer
    x = 498.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.