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Finding the Fourth Proportional to 415.72, 574.32 and 412.48

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Solution

The fourth proportional to 415.72, 574.32 and 412.48 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.72 : 574.32 = 412.48 : x
  2. Step 2: Convert to fraction form
    415.72/574.32 = 412.48/x
  3. Step 3: Cross multiply
    415.72x = 574.32 × 412.48
  4. Step 4: Simplify right side
    415.72x = 236,895.51
  5. Step 5: Solve for x
    x = 236,895.51/415.72
  6. Step 6: Final answer
    x = 569.84

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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.