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Finding the Fourth Proportional to 597.19, 899.85 and 496.73

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Solution

The fourth proportional to 597.19, 899.85 and 496.73 is: 748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.19 : 899.85 = 496.73 : x
  2. Step 2: Convert to fraction form
    597.19/899.85 = 496.73/x
  3. Step 3: Cross multiply
    597.19x = 899.85 × 496.73
  4. Step 4: Simplify right side
    597.19x = 446,977.99
  5. Step 5: Solve for x
    x = 446,977.99/597.19
  6. Step 6: Final answer
    x = 748.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.