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Finding the Fourth Proportional to 468.03, 645.12 and 409.71

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Solution

The fourth proportional to 468.03, 645.12 and 409.71 is: 564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.03 : 645.12 = 409.71 : x
  2. Step 2: Convert to fraction form
    468.03/645.12 = 409.71/x
  3. Step 3: Cross multiply
    468.03x = 645.12 × 409.71
  4. Step 4: Simplify right side
    468.03x = 264,312.12
  5. Step 5: Solve for x
    x = 264,312.12/468.03
  6. Step 6: Final answer
    x = 564.73

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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.