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Finding the Fourth Proportional to 522.09, 783.09 and 193.01

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Solution

The fourth proportional to 522.09, 783.09 and 193.01 is: 289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.09 : 783.09 = 193.01 : x
  2. Step 2: Convert to fraction form
    522.09/783.09 = 193.01/x
  3. Step 3: Cross multiply
    522.09x = 783.09 × 193.01
  4. Step 4: Simplify right side
    522.09x = 151,140.29
  5. Step 5: Solve for x
    x = 151,140.29/522.09
  6. Step 6: Final answer
    x = 289.49

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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.