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Finding the Fourth Proportional to 412.31, 569.11 and 288.01

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Solution

The fourth proportional to 412.31, 569.11 and 288.01 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 569.11 = 288.01 : x
  2. Step 2: Convert to fraction form
    412.31/569.11 = 288.01/x
  3. Step 3: Cross multiply
    412.31x = 569.11 × 288.01
  4. Step 4: Simplify right side
    412.31x = 163,909.37
  5. Step 5: Solve for x
    x = 163,909.37/412.31
  6. Step 6: Final answer
    x = 397.54

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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.