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Finding the Fourth Proportional to 412.29, 568.62 and 288.36

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Solution

The fourth proportional to 412.29, 568.62 and 288.36 is: 397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 568.62 = 288.36 : x
  2. Step 2: Convert to fraction form
    412.29/568.62 = 288.36/x
  3. Step 3: Cross multiply
    412.29x = 568.62 × 288.36
  4. Step 4: Simplify right side
    412.29x = 163,967.26
  5. Step 5: Solve for x
    x = 163,967.26/412.29
  6. Step 6: Final answer
    x = 397.70

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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.