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Finding the Fourth Proportional to 650.44, 897.54 and 429.64

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Solution

The fourth proportional to 650.44, 897.54 and 429.64 is: 592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 897.54 = 429.64 : x
  2. Step 2: Convert to fraction form
    650.44/897.54 = 429.64/x
  3. Step 3: Cross multiply
    650.44x = 897.54 × 429.64
  4. Step 4: Simplify right side
    650.44x = 385,619.09
  5. Step 5: Solve for x
    x = 385,619.09/650.44
  6. Step 6: Final answer
    x = 592.86

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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.