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Finding the Fourth Proportional to 494.83, 741.23 and 358.14

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Solution

The fourth proportional to 494.83, 741.23 and 358.14 is: 536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.83 : 741.23 = 358.14 : x
  2. Step 2: Convert to fraction form
    494.83/741.23 = 358.14/x
  3. Step 3: Cross multiply
    494.83x = 741.23 × 358.14
  4. Step 4: Simplify right side
    494.83x = 265,464.11
  5. Step 5: Solve for x
    x = 265,464.11/494.83
  6. Step 6: Final answer
    x = 536.48

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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.