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Finding the Fourth Proportional to 524.39, 786.84 and 371.30

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Solution

The fourth proportional to 524.39, 786.84 and 371.30 is: 557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 786.84 = 371.30 : x
  2. Step 2: Convert to fraction form
    524.39/786.84 = 371.30/x
  3. Step 3: Cross multiply
    524.39x = 786.84 × 371.30
  4. Step 4: Simplify right side
    524.39x = 292,149.76
  5. Step 5: Solve for x
    x = 292,149.76/524.39
  6. Step 6: Final answer
    x = 557.13

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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.