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Finding the Fourth Proportional to 524.74, 786.50 and 308.46

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Solution

The fourth proportional to 524.74, 786.50 and 308.46 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 786.50 = 308.46 : x
  2. Step 2: Convert to fraction form
    524.74/786.50 = 308.46/x
  3. Step 3: Cross multiply
    524.74x = 786.50 × 308.46
  4. Step 4: Simplify right side
    524.74x = 242,603.79
  5. Step 5: Solve for x
    x = 242,603.79/524.74
  6. Step 6: Final answer
    x = 462.33

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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.