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Finding the Fourth Proportional to 524.37, 785.63 and 467.87

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Solution

The fourth proportional to 524.37, 785.63 and 467.87 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 785.63 = 467.87 : x
  2. Step 2: Convert to fraction form
    524.37/785.63 = 467.87/x
  3. Step 3: Cross multiply
    524.37x = 785.63 × 467.87
  4. Step 4: Simplify right side
    524.37x = 367,568.78
  5. Step 5: Solve for x
    x = 367,568.78/524.37
  6. Step 6: Final answer
    x = 700.98

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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.