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Finding the Fourth Proportional to 650.09, 897.26 and 429.07

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Solution

The fourth proportional to 650.09, 897.26 and 429.07 is: 592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.09 : 897.26 = 429.07 : x
  2. Step 2: Convert to fraction form
    650.09/897.26 = 429.07/x
  3. Step 3: Cross multiply
    650.09x = 897.26 × 429.07
  4. Step 4: Simplify right side
    650.09x = 384,987.35
  5. Step 5: Solve for x
    x = 384,987.35/650.09
  6. Step 6: Final answer
    x = 592.21

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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.