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Finding the Fourth Proportional to 524.04, 786.04 and 242.56

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Solution

The fourth proportional to 524.04, 786.04 and 242.56 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 786.04 = 242.56 : x
  2. Step 2: Convert to fraction form
    524.04/786.04 = 242.56/x
  3. Step 3: Cross multiply
    524.04x = 786.04 × 242.56
  4. Step 4: Simplify right side
    524.04x = 190,661.86
  5. Step 5: Solve for x
    x = 190,661.86/524.04
  6. Step 6: Final answer
    x = 363.83

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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.