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Finding the Fourth Proportional to 503.48, 694.16 and 414.65

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Solution

The fourth proportional to 503.48, 694.16 and 414.65 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 694.16 = 414.65 : x
  2. Step 2: Convert to fraction form
    503.48/694.16 = 414.65/x
  3. Step 3: Cross multiply
    503.48x = 694.16 × 414.65
  4. Step 4: Simplify right side
    503.48x = 287,833.44
  5. Step 5: Solve for x
    x = 287,833.44/503.48
  6. Step 6: Final answer
    x = 571.69

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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.