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Finding the Fourth Proportional to 522.14, 720.75 and 412.11

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Solution

The fourth proportional to 522.14, 720.75 and 412.11 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 720.75 = 412.11 : x
  2. Step 2: Convert to fraction form
    522.14/720.75 = 412.11/x
  3. Step 3: Cross multiply
    522.14x = 720.75 × 412.11
  4. Step 4: Simplify right side
    522.14x = 297,028.28
  5. Step 5: Solve for x
    x = 297,028.28/522.14
  6. Step 6: Final answer
    x = 568.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.