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Finding the Fourth Proportional to 412.63, 569.61 and 265.23

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Solution

The fourth proportional to 412.63, 569.61 and 265.23 is: 366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.63 : 569.61 = 265.23 : x
  2. Step 2: Convert to fraction form
    412.63/569.61 = 265.23/x
  3. Step 3: Cross multiply
    412.63x = 569.61 × 265.23
  4. Step 4: Simplify right side
    412.63x = 151,077.66
  5. Step 5: Solve for x
    x = 151,077.66/412.63
  6. Step 6: Final answer
    x = 366.14

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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.