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Finding the Fourth Proportional to 582.56, 803.82 and 349.76

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Solution

The fourth proportional to 582.56, 803.82 and 349.76 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 803.82 = 349.76 : x
  2. Step 2: Convert to fraction form
    582.56/803.82 = 349.76/x
  3. Step 3: Cross multiply
    582.56x = 803.82 × 349.76
  4. Step 4: Simplify right side
    582.56x = 281,144.08
  5. Step 5: Solve for x
    x = 281,144.08/582.56
  6. Step 6: Final answer
    x = 482.60

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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.