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Finding the Fourth Proportional to 522.46, 785.13 and 266.14

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Solution

The fourth proportional to 522.46, 785.13 and 266.14 is: 399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.46 : 785.13 = 266.14 : x
  2. Step 2: Convert to fraction form
    522.46/785.13 = 266.14/x
  3. Step 3: Cross multiply
    522.46x = 785.13 × 266.14
  4. Step 4: Simplify right side
    522.46x = 208,954.50
  5. Step 5: Solve for x
    x = 208,954.50/522.46
  6. Step 6: Final answer
    x = 399.94

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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.