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Finding the Fourth Proportional to 524.25, 786.24 and 307.98

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Solution

The fourth proportional to 524.25, 786.24 and 307.98 is: 461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.25 : 786.24 = 307.98 : x
  2. Step 2: Convert to fraction form
    524.25/786.24 = 307.98/x
  3. Step 3: Cross multiply
    524.25x = 786.24 × 307.98
  4. Step 4: Simplify right side
    524.25x = 242,146.20
  5. Step 5: Solve for x
    x = 242,146.20/524.25
  6. Step 6: Final answer
    x = 461.89

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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.