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Finding the Fourth Proportional to 597.98, 897.08 and 232.67

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Solution

The fourth proportional to 597.98, 897.08 and 232.67 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.98 : 897.08 = 232.67 : x
  2. Step 2: Convert to fraction form
    597.98/897.08 = 232.67/x
  3. Step 3: Cross multiply
    597.98x = 897.08 × 232.67
  4. Step 4: Simplify right side
    597.98x = 208,724.68
  5. Step 5: Solve for x
    x = 208,724.68/597.98
  6. Step 6: Final answer
    x = 349.05

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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.