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Finding the Fourth Proportional to 593.24, 888.06 and 407.75

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Solution

The fourth proportional to 593.24, 888.06 and 407.75 is: 610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.24 : 888.06 = 407.75 : x
  2. Step 2: Convert to fraction form
    593.24/888.06 = 407.75/x
  3. Step 3: Cross multiply
    593.24x = 888.06 × 407.75
  4. Step 4: Simplify right side
    593.24x = 362,102.02
  5. Step 5: Solve for x
    x = 362,102.02/593.24
  6. Step 6: Final answer
    x = 610.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.