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Finding the Fourth Proportional to 593.46, 823.91 and 575.64

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Solution

The fourth proportional to 593.46, 823.91 and 575.64 is: 799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.46 : 823.91 = 575.64 : x
  2. Step 2: Convert to fraction form
    593.46/823.91 = 575.64/x
  3. Step 3: Cross multiply
    593.46x = 823.91 × 575.64
  4. Step 4: Simplify right side
    593.46x = 474,272.67
  5. Step 5: Solve for x
    x = 474,272.67/593.46
  6. Step 6: Final answer
    x = 799.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.