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Finding the Fourth Proportional to 597.57, 896.55 and 367.93

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Solution

The fourth proportional to 597.57, 896.55 and 367.93 is: 552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 896.55 = 367.93 : x
  2. Step 2: Convert to fraction form
    597.57/896.55 = 367.93/x
  3. Step 3: Cross multiply
    597.57x = 896.55 × 367.93
  4. Step 4: Simplify right side
    597.57x = 329,867.64
  5. Step 5: Solve for x
    x = 329,867.64/597.57
  6. Step 6: Final answer
    x = 552.02

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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.