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Finding the Fourth Proportional to 582.38, 803.56 and 346.33

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Solution

The fourth proportional to 582.38, 803.56 and 346.33 is: 477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.38 : 803.56 = 346.33 : x
  2. Step 2: Convert to fraction form
    582.38/803.56 = 346.33/x
  3. Step 3: Cross multiply
    582.38x = 803.56 × 346.33
  4. Step 4: Simplify right side
    582.38x = 278,296.93
  5. Step 5: Solve for x
    x = 278,296.93/582.38
  6. Step 6: Final answer
    x = 477.86

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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.