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Finding the Fourth Proportional to 597.89, 897.06 and 338.19

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Solution

The fourth proportional to 597.89, 897.06 and 338.19 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.89 : 897.06 = 338.19 : x
  2. Step 2: Convert to fraction form
    597.89/897.06 = 338.19/x
  3. Step 3: Cross multiply
    597.89x = 897.06 × 338.19
  4. Step 4: Simplify right side
    597.89x = 303,376.72
  5. Step 5: Solve for x
    x = 303,376.72/597.89
  6. Step 6: Final answer
    x = 507.41

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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.