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Finding the Fourth Proportional to 522.83, 721.52 and 286.78

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Solution

The fourth proportional to 522.83, 721.52 and 286.78 is: 395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 721.52 = 286.78 : x
  2. Step 2: Convert to fraction form
    522.83/721.52 = 286.78/x
  3. Step 3: Cross multiply
    522.83x = 721.52 × 286.78
  4. Step 4: Simplify right side
    522.83x = 206,917.51
  5. Step 5: Solve for x
    x = 206,917.51/522.83
  6. Step 6: Final answer
    x = 395.76

Related Problems

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Double scale
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1.5x scale

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.