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Finding the Fourth Proportional to 590.94, 886.59 and 266.22

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Solution

The fourth proportional to 590.94, 886.59 and 266.22 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 886.59 = 266.22 : x
  2. Step 2: Convert to fraction form
    590.94/886.59 = 266.22/x
  3. Step 3: Cross multiply
    590.94x = 886.59 × 266.22
  4. Step 4: Simplify right side
    590.94x = 236,027.99
  5. Step 5: Solve for x
    x = 236,027.99/590.94
  6. Step 6: Final answer
    x = 399.41

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