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Finding the Fourth Proportional to 468.32, 645.84 and 369.92

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Solution

The fourth proportional to 468.32, 645.84 and 369.92 is: 510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 645.84 = 369.92 : x
  2. Step 2: Convert to fraction form
    468.32/645.84 = 369.92/x
  3. Step 3: Cross multiply
    468.32x = 645.84 × 369.92
  4. Step 4: Simplify right side
    468.32x = 238,909.13
  5. Step 5: Solve for x
    x = 238,909.13/468.32
  6. Step 6: Final answer
    x = 510.14

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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.