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Finding the Fourth Proportional to 412.80, 568.44 and 296.16

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Solution

The fourth proportional to 412.80, 568.44 and 296.16 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 568.44 = 296.16 : x
  2. Step 2: Convert to fraction form
    412.80/568.44 = 296.16/x
  3. Step 3: Cross multiply
    412.80x = 568.44 × 296.16
  4. Step 4: Simplify right side
    412.80x = 168,349.19
  5. Step 5: Solve for x
    x = 168,349.19/412.80
  6. Step 6: Final answer
    x = 407.82

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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.