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Finding the Fourth Proportional to 524.07, 786.12 and 292.92

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Solution

The fourth proportional to 524.07, 786.12 and 292.92 is: 439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 786.12 = 292.92 : x
  2. Step 2: Convert to fraction form
    524.07/786.12 = 292.92/x
  3. Step 3: Cross multiply
    524.07x = 786.12 × 292.92
  4. Step 4: Simplify right side
    524.07x = 230,270.27
  5. Step 5: Solve for x
    x = 230,270.27/524.07
  6. Step 6: Final answer
    x = 439.39

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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.