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Finding the Fourth Proportional to 566.12, 779.70 and 522.92

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Solution

The fourth proportional to 566.12, 779.70 and 522.92 is: 720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.12 : 779.70 = 522.92 : x
  2. Step 2: Convert to fraction form
    566.12/779.70 = 522.92/x
  3. Step 3: Cross multiply
    566.12x = 779.70 × 522.92
  4. Step 4: Simplify right side
    566.12x = 407,720.72
  5. Step 5: Solve for x
    x = 407,720.72/566.12
  6. Step 6: Final answer
    x = 720.20

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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.