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Finding the Fourth Proportional to 597.85, 897.28 and 232.74

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Solution

The fourth proportional to 597.85, 897.28 and 232.74 is: 349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.85 : 897.28 = 232.74 : x
  2. Step 2: Convert to fraction form
    597.85/897.28 = 232.74/x
  3. Step 3: Cross multiply
    597.85x = 897.28 × 232.74
  4. Step 4: Simplify right side
    597.85x = 208,832.95
  5. Step 5: Solve for x
    x = 208,832.95/597.85
  6. Step 6: Final answer
    x = 349.31

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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.