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Finding the Fourth Proportional to 582.64, 804.12 and 349.78

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Solution

The fourth proportional to 582.64, 804.12 and 349.78 is: 482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 804.12 = 349.78 : x
  2. Step 2: Convert to fraction form
    582.64/804.12 = 349.78/x
  3. Step 3: Cross multiply
    582.64x = 804.12 × 349.78
  4. Step 4: Simplify right side
    582.64x = 281,265.09
  5. Step 5: Solve for x
    x = 281,265.09/582.64
  6. Step 6: Final answer
    x = 482.74

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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.