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Finding the Fourth Proportional to 412.68, 569.10 and 288.18

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Solution

The fourth proportional to 412.68, 569.10 and 288.18 is: 397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 569.10 = 288.18 : x
  2. Step 2: Convert to fraction form
    412.68/569.10 = 288.18/x
  3. Step 3: Cross multiply
    412.68x = 569.10 × 288.18
  4. Step 4: Simplify right side
    412.68x = 164,003.24
  5. Step 5: Solve for x
    x = 164,003.24/412.68
  6. Step 6: Final answer
    x = 397.41

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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.