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Finding the Fourth Proportional to 468.97, 645.78 and 370.42

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Solution

The fourth proportional to 468.97, 645.78 and 370.42 is: 510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.97 : 645.78 = 370.42 : x
  2. Step 2: Convert to fraction form
    468.97/645.78 = 370.42/x
  3. Step 3: Cross multiply
    468.97x = 645.78 × 370.42
  4. Step 4: Simplify right side
    468.97x = 239,209.83
  5. Step 5: Solve for x
    x = 239,209.83/468.97
  6. Step 6: Final answer
    x = 510.07

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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.