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Finding the Fourth Proportional to 524.24, 785.43 and 467.75

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Solution

The fourth proportional to 524.24, 785.43 and 467.75 is: 700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 785.43 = 467.75 : x
  2. Step 2: Convert to fraction form
    524.24/785.43 = 467.75/x
  3. Step 3: Cross multiply
    524.24x = 785.43 × 467.75
  4. Step 4: Simplify right side
    524.24x = 367,384.88
  5. Step 5: Solve for x
    x = 367,384.88/524.24
  6. Step 6: Final answer
    x = 700.80

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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.