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Finding the Fourth Proportional to 412.34, 568.59 and 287.95

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Solution

The fourth proportional to 412.34, 568.59 and 287.95 is: 397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 568.59 = 287.95 : x
  2. Step 2: Convert to fraction form
    412.34/568.59 = 287.95/x
  3. Step 3: Cross multiply
    412.34x = 568.59 × 287.95
  4. Step 4: Simplify right side
    412.34x = 163,724.07
  5. Step 5: Solve for x
    x = 163,724.07/412.34
  6. Step 6: Final answer
    x = 397.07

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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.