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Finding the Fourth Proportional to 566.70, 814.32 and 566.70

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Solution

The fourth proportional to 566.70, 814.32 and 566.70 is: 814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.70 : 814.32 = 566.70 : x
  2. Step 2: Convert to fraction form
    566.70/814.32 = 566.70/x
  3. Step 3: Cross multiply
    566.70x = 814.32 × 566.70
  4. Step 4: Simplify right side
    566.70x = 461,475.14
  5. Step 5: Solve for x
    x = 461,475.14/566.70
  6. Step 6: Final answer
    x = 814.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.