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Finding the Fourth Proportional to 479.87, 662.54 and 369.14

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Solution

The fourth proportional to 479.87, 662.54 and 369.14 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.87 : 662.54 = 369.14 : x
  2. Step 2: Convert to fraction form
    479.87/662.54 = 369.14/x
  3. Step 3: Cross multiply
    479.87x = 662.54 × 369.14
  4. Step 4: Simplify right side
    479.87x = 244,570.02
  5. Step 5: Solve for x
    x = 244,570.02/479.87
  6. Step 6: Final answer
    x = 509.66

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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.