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Finding the Fourth Proportional to 593, 817.96 and 476.84

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Solution

The fourth proportional to 593, 817.96 and 476.84 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    593 : 817.96 = 476.84 : x
  2. Step 2: Convert to fraction form
    593/817.96 = 476.84/x
  3. Step 3: Cross multiply
    593x = 817.96 × 476.84
  4. Step 4: Simplify right side
    593x = 390,036.05
  5. Step 5: Solve for x
    x = 390,036.05/593
  6. Step 6: Final answer
    x = 657.73

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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.