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Finding the Fourth Proportional to 582.92, 804.68 and 350

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Solution

The fourth proportional to 582.92, 804.68 and 350 is: 483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 804.68 = 350 : x
  2. Step 2: Convert to fraction form
    582.92/804.68 = 350/x
  3. Step 3: Cross multiply
    582.92x = 804.68 × 350
  4. Step 4: Simplify right side
    582.92x = 281,638
  5. Step 5: Solve for x
    x = 281,638/582.92
  6. Step 6: Final answer
    x = 483.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.