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Finding the Fourth Proportional to 412.64, 569.13 and 288.26

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Solution

The fourth proportional to 412.64, 569.13 and 288.26 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 569.13 = 288.26 : x
  2. Step 2: Convert to fraction form
    412.64/569.13 = 288.26/x
  3. Step 3: Cross multiply
    412.64x = 569.13 × 288.26
  4. Step 4: Simplify right side
    412.64x = 164,057.41
  5. Step 5: Solve for x
    x = 164,057.41/412.64
  6. Step 6: Final answer
    x = 397.58

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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.