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Finding the Fourth Proportional to 412.49, 569.03 and 263.07

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Solution

The fourth proportional to 412.49, 569.03 and 263.07 is: 362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 569.03 = 263.07 : x
  2. Step 2: Convert to fraction form
    412.49/569.03 = 263.07/x
  3. Step 3: Cross multiply
    412.49x = 569.03 × 263.07
  4. Step 4: Simplify right side
    412.49x = 149,693.41
  5. Step 5: Solve for x
    x = 149,693.41/412.49
  6. Step 6: Final answer
    x = 362.91

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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.