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Finding the Fourth Proportional to 593.06, 817.90 and 427.01

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Solution

The fourth proportional to 593.06, 817.90 and 427.01 is: 588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.06 : 817.90 = 427.01 : x
  2. Step 2: Convert to fraction form
    593.06/817.90 = 427.01/x
  3. Step 3: Cross multiply
    593.06x = 817.90 × 427.01
  4. Step 4: Simplify right side
    593.06x = 349,246.32
  5. Step 5: Solve for x
    x = 349,246.32/593.06
  6. Step 6: Final answer
    x = 588.89

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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.