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Finding the Fourth Proportional to 650.54, 897.93 and 398.57

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Solution

The fourth proportional to 650.54, 897.93 and 398.57 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 897.93 = 398.57 : x
  2. Step 2: Convert to fraction form
    650.54/897.93 = 398.57/x
  3. Step 3: Cross multiply
    650.54x = 897.93 × 398.57
  4. Step 4: Simplify right side
    650.54x = 357,883.47
  5. Step 5: Solve for x
    x = 357,883.47/650.54
  6. Step 6: Final answer
    x = 550.14

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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.