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Finding the Fourth Proportional to 650.37, 897.85 and 429.69

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Solution

The fourth proportional to 650.37, 897.85 and 429.69 is: 593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.37 : 897.85 = 429.69 : x
  2. Step 2: Convert to fraction form
    650.37/897.85 = 429.69/x
  3. Step 3: Cross multiply
    650.37x = 897.85 × 429.69
  4. Step 4: Simplify right side
    650.37x = 385,797.17
  5. Step 5: Solve for x
    x = 385,797.17/650.37
  6. Step 6: Final answer
    x = 593.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.