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Finding the Fourth Proportional to 412.32, 568.17 and 294.08

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Solution

The fourth proportional to 412.32, 568.17 and 294.08 is: 405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 568.17 = 294.08 : x
  2. Step 2: Convert to fraction form
    412.32/568.17 = 294.08/x
  3. Step 3: Cross multiply
    412.32x = 568.17 × 294.08
  4. Step 4: Simplify right side
    412.32x = 167,088.62
  5. Step 5: Solve for x
    x = 167,088.62/412.32
  6. Step 6: Final answer
    x = 405.24

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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.