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Finding the Fourth Proportional to 597.82, 898.48 and 495.76

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Solution

The fourth proportional to 597.82, 898.48 and 495.76 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.82 : 898.48 = 495.76 : x
  2. Step 2: Convert to fraction form
    597.82/898.48 = 495.76/x
  3. Step 3: Cross multiply
    597.82x = 898.48 × 495.76
  4. Step 4: Simplify right side
    597.82x = 445,430.44
  5. Step 5: Solve for x
    x = 445,430.44/597.82
  6. Step 6: Final answer
    x = 745.09

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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.