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Finding the Fourth Proportional to 588.88, 883.59 and 264.22

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Solution

The fourth proportional to 588.88, 883.59 and 264.22 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 883.59 = 264.22 : x
  2. Step 2: Convert to fraction form
    588.88/883.59 = 264.22/x
  3. Step 3: Cross multiply
    588.88x = 883.59 × 264.22
  4. Step 4: Simplify right side
    588.88x = 233,462.15
  5. Step 5: Solve for x
    x = 233,462.15/588.88
  6. Step 6: Final answer
    x = 396.45

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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.