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Finding the Fourth Proportional to 522.84, 784.24 and 249.12

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Solution

The fourth proportional to 522.84, 784.24 and 249.12 is: 373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 784.24 = 249.12 : x
  2. Step 2: Convert to fraction form
    522.84/784.24 = 249.12/x
  3. Step 3: Cross multiply
    522.84x = 784.24 × 249.12
  4. Step 4: Simplify right side
    522.84x = 195,369.87
  5. Step 5: Solve for x
    x = 195,369.87/522.84
  6. Step 6: Final answer
    x = 373.67

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Double scale
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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.