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Finding the Fourth Proportional to 553.74, 830.82 and 337.48

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Solution

The fourth proportional to 553.74, 830.82 and 337.48 is: 506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 830.82 = 337.48 : x
  2. Step 2: Convert to fraction form
    553.74/830.82 = 337.48/x
  3. Step 3: Cross multiply
    553.74x = 830.82 × 337.48
  4. Step 4: Simplify right side
    553.74x = 280,385.13
  5. Step 5: Solve for x
    x = 280,385.13/553.74
  6. Step 6: Final answer
    x = 506.35

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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.