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Finding the Fourth Proportional to 412.12, 567.84 and 295.48

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Solution

The fourth proportional to 412.12, 567.84 and 295.48 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 567.84 = 295.48 : x
  2. Step 2: Convert to fraction form
    412.12/567.84 = 295.48/x
  3. Step 3: Cross multiply
    412.12x = 567.84 × 295.48
  4. Step 4: Simplify right side
    412.12x = 167,785.36
  5. Step 5: Solve for x
    x = 167,785.36/412.12
  6. Step 6: Final answer
    x = 407.13

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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.