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Finding the Fourth Proportional to 650.77, 898.07 and 356.05

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Solution

The fourth proportional to 650.77, 898.07 and 356.05 is: 491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.77 : 898.07 = 356.05 : x
  2. Step 2: Convert to fraction form
    650.77/898.07 = 356.05/x
  3. Step 3: Cross multiply
    650.77x = 898.07 × 356.05
  4. Step 4: Simplify right side
    650.77x = 319,757.82
  5. Step 5: Solve for x
    x = 319,757.82/650.77
  6. Step 6: Final answer
    x = 491.35

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Why These Related Problems?

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