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Finding the Fourth Proportional to 524.24, 785.74 and 235.07

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Solution

The fourth proportional to 524.24, 785.74 and 235.07 is: 352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 785.74 = 235.07 : x
  2. Step 2: Convert to fraction form
    524.24/785.74 = 235.07/x
  3. Step 3: Cross multiply
    524.24x = 785.74 × 235.07
  4. Step 4: Simplify right side
    524.24x = 184,699.97
  5. Step 5: Solve for x
    x = 184,699.97/524.24
  6. Step 6: Final answer
    x = 352.32

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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.