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Finding the Fourth Proportional to 589.35, 883.29 and 264.04

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Solution

The fourth proportional to 589.35, 883.29 and 264.04 is: 395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.35 : 883.29 = 264.04 : x
  2. Step 2: Convert to fraction form
    589.35/883.29 = 264.04/x
  3. Step 3: Cross multiply
    589.35x = 883.29 × 264.04
  4. Step 4: Simplify right side
    589.35x = 233,223.89
  5. Step 5: Solve for x
    x = 233,223.89/589.35
  6. Step 6: Final answer
    x = 395.73

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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.