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Finding the Fourth Proportional to 524.06, 782.74 and 474.57

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Solution

The fourth proportional to 524.06, 782.74 and 474.57 is: 708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 782.74 = 474.57 : x
  2. Step 2: Convert to fraction form
    524.06/782.74 = 474.57/x
  3. Step 3: Cross multiply
    524.06x = 782.74 × 474.57
  4. Step 4: Simplify right side
    524.06x = 371,464.84
  5. Step 5: Solve for x
    x = 371,464.84/524.06
  6. Step 6: Final answer
    x = 708.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.