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Finding the Fourth Proportional to 468.64, 645.84 and 375.04

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Solution

The fourth proportional to 468.64, 645.84 and 375.04 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 645.84 = 375.04 : x
  2. Step 2: Convert to fraction form
    468.64/645.84 = 375.04/x
  3. Step 3: Cross multiply
    468.64x = 645.84 × 375.04
  4. Step 4: Simplify right side
    468.64x = 242,215.83
  5. Step 5: Solve for x
    x = 242,215.83/468.64
  6. Step 6: Final answer
    x = 516.85

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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.