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Finding the Fourth Proportional to 522.21, 783.32 and 233.63

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Solution

The fourth proportional to 522.21, 783.32 and 233.63 is: 350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.21 : 783.32 = 233.63 : x
  2. Step 2: Convert to fraction form
    522.21/783.32 = 233.63/x
  3. Step 3: Cross multiply
    522.21x = 783.32 × 233.63
  4. Step 4: Simplify right side
    522.21x = 183,007.05
  5. Step 5: Solve for x
    x = 183,007.05/522.21
  6. Step 6: Final answer
    x = 350.45

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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.