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Finding the Fourth Proportional to 597.79, 896.19 and 338.23

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Solution

The fourth proportional to 597.79, 896.19 and 338.23 is: 507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 896.19 = 338.23 : x
  2. Step 2: Convert to fraction form
    597.79/896.19 = 338.23/x
  3. Step 3: Cross multiply
    597.79x = 896.19 × 338.23
  4. Step 4: Simplify right side
    597.79x = 303,118.34
  5. Step 5: Solve for x
    x = 303,118.34/597.79
  6. Step 6: Final answer
    x = 507.06

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Why These Related Problems?

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