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Finding the Fourth Proportional to 593.06, 817.97 and 566.90

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Solution

The fourth proportional to 593.06, 817.97 and 566.90 is: 781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.06 : 817.97 = 566.90 : x
  2. Step 2: Convert to fraction form
    593.06/817.97 = 566.90/x
  3. Step 3: Cross multiply
    593.06x = 817.97 × 566.90
  4. Step 4: Simplify right side
    593.06x = 463,703.34
  5. Step 5: Solve for x
    x = 463,703.34/593.06
  6. Step 6: Final answer
    x = 781.89

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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.