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Finding the Fourth Proportional to 582.92, 804.40 and 350

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Solution

The fourth proportional to 582.92, 804.40 and 350 is: 482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 804.40 = 350 : x
  2. Step 2: Convert to fraction form
    582.92/804.40 = 350/x
  3. Step 3: Cross multiply
    582.92x = 804.40 × 350
  4. Step 4: Simplify right side
    582.92x = 281,540
  5. Step 5: Solve for x
    x = 281,540/582.92
  6. Step 6: Final answer
    x = 482.98

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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.