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Finding the Fourth Proportional to 412.07, 567.54 and 333.25

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Solution

The fourth proportional to 412.07, 567.54 and 333.25 is: 458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 567.54 = 333.25 : x
  2. Step 2: Convert to fraction form
    412.07/567.54 = 333.25/x
  3. Step 3: Cross multiply
    412.07x = 567.54 × 333.25
  4. Step 4: Simplify right side
    412.07x = 189,131.29
  5. Step 5: Solve for x
    x = 189,131.29/412.07
  6. Step 6: Final answer
    x = 458.98

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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.