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Finding the Fourth Proportional to 412.32, 567.86 and 357.04

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Solution

The fourth proportional to 412.32, 567.86 and 357.04 is: 491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 567.86 = 357.04 : x
  2. Step 2: Convert to fraction form
    412.32/567.86 = 357.04/x
  3. Step 3: Cross multiply
    412.32x = 567.86 × 357.04
  4. Step 4: Simplify right side
    412.32x = 202,748.73
  5. Step 5: Solve for x
    x = 202,748.73/412.32
  6. Step 6: Final answer
    x = 491.73

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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.