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Finding the Fourth Proportional to 524.15, 785.30 and 467.65

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Solution

The fourth proportional to 524.15, 785.30 and 467.65 is: 700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 785.30 = 467.65 : x
  2. Step 2: Convert to fraction form
    524.15/785.30 = 467.65/x
  3. Step 3: Cross multiply
    524.15x = 785.30 × 467.65
  4. Step 4: Simplify right side
    524.15x = 367,241.62
  5. Step 5: Solve for x
    x = 367,241.62/524.15
  6. Step 6: Final answer
    x = 700.65

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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.