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Finding the Fourth Proportional to 597.82, 896.19 and 415.30

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Solution

The fourth proportional to 597.82, 896.19 and 415.30 is: 622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.82 : 896.19 = 415.30 : x
  2. Step 2: Convert to fraction form
    597.82/896.19 = 415.30/x
  3. Step 3: Cross multiply
    597.82x = 896.19 × 415.30
  4. Step 4: Simplify right side
    597.82x = 372,187.71
  5. Step 5: Solve for x
    x = 372,187.71/597.82
  6. Step 6: Final answer
    x = 622.57

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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.