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Finding the Fourth Proportional to 524.09, 785.13 and 350.24

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Solution

The fourth proportional to 524.09, 785.13 and 350.24 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 785.13 = 350.24 : x
  2. Step 2: Convert to fraction form
    524.09/785.13 = 350.24/x
  3. Step 3: Cross multiply
    524.09x = 785.13 × 350.24
  4. Step 4: Simplify right side
    524.09x = 274,980.01
  5. Step 5: Solve for x
    x = 274,980.01/524.09
  6. Step 6: Final answer
    x = 524.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.