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Finding the Fourth Proportional to 522.98, 784.59 and 262.33

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Solution

The fourth proportional to 522.98, 784.59 and 262.33 is: 393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.98 : 784.59 = 262.33 : x
  2. Step 2: Convert to fraction form
    522.98/784.59 = 262.33/x
  3. Step 3: Cross multiply
    522.98x = 784.59 × 262.33
  4. Step 4: Simplify right side
    522.98x = 205,819.04
  5. Step 5: Solve for x
    x = 205,819.04/522.98
  6. Step 6: Final answer
    x = 393.55

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Double scale
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Similar ratio
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1.5x scale

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.