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Finding the Fourth Proportional to 436.08, 653.64 and 274.08

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Solution

The fourth proportional to 436.08, 653.64 and 274.08 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.08 : 653.64 = 274.08 : x
  2. Step 2: Convert to fraction form
    436.08/653.64 = 274.08/x
  3. Step 3: Cross multiply
    436.08x = 653.64 × 274.08
  4. Step 4: Simplify right side
    436.08x = 179,149.65
  5. Step 5: Solve for x
    x = 179,149.65/436.08
  6. Step 6: Final answer
    x = 410.82

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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.