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Finding the Fourth Proportional to 401.42, 602.74 and 356.06

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Solution

The fourth proportional to 401.42, 602.74 and 356.06 is: 534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.42 : 602.74 = 356.06 : x
  2. Step 2: Convert to fraction form
    401.42/602.74 = 356.06/x
  3. Step 3: Cross multiply
    401.42x = 602.74 × 356.06
  4. Step 4: Simplify right side
    401.42x = 214,613.56
  5. Step 5: Solve for x
    x = 214,613.56/401.42
  6. Step 6: Final answer
    x = 534.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.