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Finding the Fourth Proportional to 593.09, 817.60 and 415.52

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Solution

The fourth proportional to 593.09, 817.60 and 415.52 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.09 : 817.60 = 415.52 : x
  2. Step 2: Convert to fraction form
    593.09/817.60 = 415.52/x
  3. Step 3: Cross multiply
    593.09x = 817.60 × 415.52
  4. Step 4: Simplify right side
    593.09x = 339,724.03
  5. Step 5: Solve for x
    x = 339,724.03/593.09
  6. Step 6: Final answer
    x = 572.80

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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.