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Finding the Fourth Proportional to 525.75, 724.98 and 392.37

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Solution

The fourth proportional to 525.75, 724.98 and 392.37 is: 541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.75 : 724.98 = 392.37 : x
  2. Step 2: Convert to fraction form
    525.75/724.98 = 392.37/x
  3. Step 3: Cross multiply
    525.75x = 724.98 × 392.37
  4. Step 4: Simplify right side
    525.75x = 284,460.40
  5. Step 5: Solve for x
    x = 284,460.40/525.75
  6. Step 6: Final answer
    x = 541.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.