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Finding the Fourth Proportional to 523.85, 723.25 and 358.29

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Solution

The fourth proportional to 523.85, 723.25 and 358.29 is: 494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 723.25 = 358.29 : x
  2. Step 2: Convert to fraction form
    523.85/723.25 = 358.29/x
  3. Step 3: Cross multiply
    523.85x = 723.25 × 358.29
  4. Step 4: Simplify right side
    523.85x = 259,133.96
  5. Step 5: Solve for x
    x = 259,133.96/523.85
  6. Step 6: Final answer
    x = 494.67

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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.