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Finding the Fourth Proportional to 536.10, 736.46 and 437.55

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Solution

The fourth proportional to 536.10, 736.46 and 437.55 is: 601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.10 : 736.46 = 437.55 : x
  2. Step 2: Convert to fraction form
    536.10/736.46 = 437.55/x
  3. Step 3: Cross multiply
    536.10x = 736.46 × 437.55
  4. Step 4: Simplify right side
    536.10x = 322,235.89
  5. Step 5: Solve for x
    x = 322,235.89/536.10
  6. Step 6: Final answer
    x = 601.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.