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Finding the Fourth Proportional to 503.82, 756 and 476.28

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Solution

The fourth proportional to 503.82, 756 and 476.28 is: 714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 756 = 476.28 : x
  2. Step 2: Convert to fraction form
    503.82/756 = 476.28/x
  3. Step 3: Cross multiply
    503.82x = 756 × 476.28
  4. Step 4: Simplify right side
    503.82x = 360,067.68
  5. Step 5: Solve for x
    x = 360,067.68/503.82
  6. Step 6: Final answer
    x = 714.68

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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.