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Finding the Fourth Proportional to 536.68, 740.46 and 312.52

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Solution

The fourth proportional to 536.68, 740.46 and 312.52 is: 431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 740.46 = 312.52 : x
  2. Step 2: Convert to fraction form
    536.68/740.46 = 312.52/x
  3. Step 3: Cross multiply
    536.68x = 740.46 × 312.52
  4. Step 4: Simplify right side
    536.68x = 231,408.56
  5. Step 5: Solve for x
    x = 231,408.56/536.68
  6. Step 6: Final answer
    x = 431.19

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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.