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Finding the Fourth Proportional to 536.10, 738.93 and 411.54

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Solution

The fourth proportional to 536.10, 738.93 and 411.54 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.10 : 738.93 = 411.54 : x
  2. Step 2: Convert to fraction form
    536.10/738.93 = 411.54/x
  3. Step 3: Cross multiply
    536.10x = 738.93 × 411.54
  4. Step 4: Simplify right side
    536.10x = 304,099.25
  5. Step 5: Solve for x
    x = 304,099.25/536.10
  6. Step 6: Final answer
    x = 567.24

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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.