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Finding the Fourth Proportional to 598.37, 896.85 and 338.49

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Solution

The fourth proportional to 598.37, 896.85 and 338.49 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.37 : 896.85 = 338.49 : x
  2. Step 2: Convert to fraction form
    598.37/896.85 = 338.49/x
  3. Step 3: Cross multiply
    598.37x = 896.85 × 338.49
  4. Step 4: Simplify right side
    598.37x = 303,574.76
  5. Step 5: Solve for x
    x = 303,574.76/598.37
  6. Step 6: Final answer
    x = 507.34

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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.