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Finding the Fourth Proportional to 536.40, 739.80 and 405.72

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Solution

The fourth proportional to 536.40, 739.80 and 405.72 is: 559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 739.80 = 405.72 : x
  2. Step 2: Convert to fraction form
    536.40/739.80 = 405.72/x
  3. Step 3: Cross multiply
    536.40x = 739.80 × 405.72
  4. Step 4: Simplify right side
    536.40x = 300,151.66
  5. Step 5: Solve for x
    x = 300,151.66/536.40
  6. Step 6: Final answer
    x = 559.57

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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.