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Finding the Fourth Proportional to 650.20, 895.95 and 533.56

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Solution

The fourth proportional to 650.20, 895.95 and 533.56 is: 735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 895.95 = 533.56 : x
  2. Step 2: Convert to fraction form
    650.20/895.95 = 533.56/x
  3. Step 3: Cross multiply
    650.20x = 895.95 × 533.56
  4. Step 4: Simplify right side
    650.20x = 478,043.08
  5. Step 5: Solve for x
    x = 478,043.08/650.20
  6. Step 6: Final answer
    x = 735.22

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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.