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Finding the Fourth Proportional to 597.76, 897.72 and 367.12

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Solution

The fourth proportional to 597.76, 897.72 and 367.12 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 897.72 = 367.12 : x
  2. Step 2: Convert to fraction form
    597.76/897.72 = 367.12/x
  3. Step 3: Cross multiply
    597.76x = 897.72 × 367.12
  4. Step 4: Simplify right side
    597.76x = 329,570.97
  5. Step 5: Solve for x
    x = 329,570.97/597.76
  6. Step 6: Final answer
    x = 551.34

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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.