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Finding the Fourth Proportional to 412.51, 569.10 and 265.09

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Solution

The fourth proportional to 412.51, 569.10 and 265.09 is: 365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.51 : 569.10 = 265.09 : x
  2. Step 2: Convert to fraction form
    412.51/569.10 = 265.09/x
  3. Step 3: Cross multiply
    412.51x = 569.10 × 265.09
  4. Step 4: Simplify right side
    412.51x = 150,862.72
  5. Step 5: Solve for x
    x = 150,862.72/412.51
  6. Step 6: Final answer
    x = 365.72

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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.