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Finding the Fourth Proportional to 582.89, 874.44 and 309.23

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Solution

The fourth proportional to 582.89, 874.44 and 309.23 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.89 : 874.44 = 309.23 : x
  2. Step 2: Convert to fraction form
    582.89/874.44 = 309.23/x
  3. Step 3: Cross multiply
    582.89x = 874.44 × 309.23
  4. Step 4: Simplify right side
    582.89x = 270,398.71
  5. Step 5: Solve for x
    x = 270,398.71/582.89
  6. Step 6: Final answer
    x = 463.89

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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.