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Finding the Fourth Proportional to 583.35, 874.08 and 274.47

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Solution

The fourth proportional to 583.35, 874.08 and 274.47 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.35 : 874.08 = 274.47 : x
  2. Step 2: Convert to fraction form
    583.35/874.08 = 274.47/x
  3. Step 3: Cross multiply
    583.35x = 874.08 × 274.47
  4. Step 4: Simplify right side
    583.35x = 239,908.74
  5. Step 5: Solve for x
    x = 239,908.74/583.35
  6. Step 6: Final answer
    x = 411.26

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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.