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Finding the Fourth Proportional to 412.88, 569.48 and 408.08

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Solution

The fourth proportional to 412.88, 569.48 and 408.08 is: 562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 569.48 = 408.08 : x
  2. Step 2: Convert to fraction form
    412.88/569.48 = 408.08/x
  3. Step 3: Cross multiply
    412.88x = 569.48 × 408.08
  4. Step 4: Simplify right side
    412.88x = 232,393.40
  5. Step 5: Solve for x
    x = 232,393.40/412.88
  6. Step 6: Final answer
    x = 562.86

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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.