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Finding the Fourth Proportional to 436.92, 653.95 and 419.91

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Solution

The fourth proportional to 436.92, 653.95 and 419.91 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.92 : 653.95 = 419.91 : x
  2. Step 2: Convert to fraction form
    436.92/653.95 = 419.91/x
  3. Step 3: Cross multiply
    436.92x = 653.95 × 419.91
  4. Step 4: Simplify right side
    436.92x = 274,600.14
  5. Step 5: Solve for x
    x = 274,600.14/436.92
  6. Step 6: Final answer
    x = 628.49

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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.