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Finding the Fourth Proportional to 436.19, 653.25 and 378.88

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Solution

The fourth proportional to 436.19, 653.25 and 378.88 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.19 : 653.25 = 378.88 : x
  2. Step 2: Convert to fraction form
    436.19/653.25 = 378.88/x
  3. Step 3: Cross multiply
    436.19x = 653.25 × 378.88
  4. Step 4: Simplify right side
    436.19x = 247,503.36
  5. Step 5: Solve for x
    x = 247,503.36/436.19
  6. Step 6: Final answer
    x = 567.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.