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Finding the Fourth Proportional to 597.86, 897.13 and 251.17

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Solution

The fourth proportional to 597.86, 897.13 and 251.17 is: 376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 897.13 = 251.17 : x
  2. Step 2: Convert to fraction form
    597.86/897.13 = 251.17/x
  3. Step 3: Cross multiply
    597.86x = 897.13 × 251.17
  4. Step 4: Simplify right side
    597.86x = 225,328.60
  5. Step 5: Solve for x
    x = 225,328.60/597.86
  6. Step 6: Final answer
    x = 376.89

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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.