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Finding the Fourth Proportional to 412.02, 569.15 and 329.01

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Solution

The fourth proportional to 412.02, 569.15 and 329.01 is: 454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 569.15 = 329.01 : x
  2. Step 2: Convert to fraction form
    412.02/569.15 = 329.01/x
  3. Step 3: Cross multiply
    412.02x = 569.15 × 329.01
  4. Step 4: Simplify right side
    412.02x = 187,254.40
  5. Step 5: Solve for x
    x = 187,254.40/412.02
  6. Step 6: Final answer
    x = 454.48

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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.