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Finding the Fourth Proportional to 582.19, 803.52 and 349.31

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Solution

The fourth proportional to 582.19, 803.52 and 349.31 is: 482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 803.52 = 349.31 : x
  2. Step 2: Convert to fraction form
    582.19/803.52 = 349.31/x
  3. Step 3: Cross multiply
    582.19x = 803.52 × 349.31
  4. Step 4: Simplify right side
    582.19x = 280,679.58
  5. Step 5: Solve for x
    x = 280,679.58/582.19
  6. Step 6: Final answer
    x = 482.11

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