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Finding the Fourth Proportional to 536.57, 740.82 and 412.01

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Solution

The fourth proportional to 536.57, 740.82 and 412.01 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.57 : 740.82 = 412.01 : x
  2. Step 2: Convert to fraction form
    536.57/740.82 = 412.01/x
  3. Step 3: Cross multiply
    536.57x = 740.82 × 412.01
  4. Step 4: Simplify right side
    536.57x = 305,221.54
  5. Step 5: Solve for x
    x = 305,221.54/536.57
  6. Step 6: Final answer
    x = 568.84

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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.