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Finding the Fourth Proportional to 369.84, 557.44 and 350.04

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Solution

The fourth proportional to 369.84, 557.44 and 350.04 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 557.44 = 350.04 : x
  2. Step 2: Convert to fraction form
    369.84/557.44 = 350.04/x
  3. Step 3: Cross multiply
    369.84x = 557.44 × 350.04
  4. Step 4: Simplify right side
    369.84x = 195,126.30
  5. Step 5: Solve for x
    x = 195,126.30/369.84
  6. Step 6: Final answer
    x = 527.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.