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Finding the Fourth Proportional to 650.16, 897.36 and 388.08

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Solution

The fourth proportional to 650.16, 897.36 and 388.08 is: 535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 897.36 = 388.08 : x
  2. Step 2: Convert to fraction form
    650.16/897.36 = 388.08/x
  3. Step 3: Cross multiply
    650.16x = 897.36 × 388.08
  4. Step 4: Simplify right side
    650.16x = 348,247.47
  5. Step 5: Solve for x
    x = 348,247.47/650.16
  6. Step 6: Final answer
    x = 535.63

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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.