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Finding the Fourth Proportional to 582.69, 804.32 and 349.81

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Solution

The fourth proportional to 582.69, 804.32 and 349.81 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 804.32 = 349.81 : x
  2. Step 2: Convert to fraction form
    582.69/804.32 = 349.81/x
  3. Step 3: Cross multiply
    582.69x = 804.32 × 349.81
  4. Step 4: Simplify right side
    582.69x = 281,359.18
  5. Step 5: Solve for x
    x = 281,359.18/582.69
  6. Step 6: Final answer
    x = 482.86

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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.