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Finding the Fourth Proportional to 583.41, 873.98 and 339.42

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Solution

The fourth proportional to 583.41, 873.98 and 339.42 is: 508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 873.98 = 339.42 : x
  2. Step 2: Convert to fraction form
    583.41/873.98 = 339.42/x
  3. Step 3: Cross multiply
    583.41x = 873.98 × 339.42
  4. Step 4: Simplify right side
    583.41x = 296,644.59
  5. Step 5: Solve for x
    x = 296,644.59/583.41
  6. Step 6: Final answer
    x = 508.47

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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.