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Finding the Fourth Proportional to 597.90, 896.85 and 415.11

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Solution

The fourth proportional to 597.90, 896.85 and 415.11 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 896.85 = 415.11 : x
  2. Step 2: Convert to fraction form
    597.90/896.85 = 415.11/x
  3. Step 3: Cross multiply
    597.90x = 896.85 × 415.11
  4. Step 4: Simplify right side
    597.90x = 372,291.40
  5. Step 5: Solve for x
    x = 372,291.40/597.90
  6. Step 6: Final answer
    x = 622.67

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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.