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Finding the Fourth Proportional to 582.59, 874.19 and 338.99

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Solution

The fourth proportional to 582.59, 874.19 and 338.99 is: 508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.59 : 874.19 = 338.99 : x
  2. Step 2: Convert to fraction form
    582.59/874.19 = 338.99/x
  3. Step 3: Cross multiply
    582.59x = 874.19 × 338.99
  4. Step 4: Simplify right side
    582.59x = 296,338.14
  5. Step 5: Solve for x
    x = 296,338.14/582.59
  6. Step 6: Final answer
    x = 508.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.