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Finding the Fourth Proportional to 534.53, 736.53 and 475.67

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Solution

The fourth proportional to 534.53, 736.53 and 475.67 is: 655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.53 : 736.53 = 475.67 : x
  2. Step 2: Convert to fraction form
    534.53/736.53 = 475.67/x
  3. Step 3: Cross multiply
    534.53x = 736.53 × 475.67
  4. Step 4: Simplify right side
    534.53x = 350,345.23
  5. Step 5: Solve for x
    x = 350,345.23/534.53
  6. Step 6: Final answer
    x = 655.43

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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.