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Finding the Fourth Proportional to 412.93, 569.52 and 265.58

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Solution

The fourth proportional to 412.93, 569.52 and 265.58 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 569.52 = 265.58 : x
  2. Step 2: Convert to fraction form
    412.93/569.52 = 265.58/x
  3. Step 3: Cross multiply
    412.93x = 569.52 × 265.58
  4. Step 4: Simplify right side
    412.93x = 151,250.27
  5. Step 5: Solve for x
    x = 151,250.27/412.93
  6. Step 6: Final answer
    x = 366.29

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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.