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Finding the Fourth Proportional to 525.35, 724.68 and 400.61

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Solution

The fourth proportional to 525.35, 724.68 and 400.61 is: 552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.35 : 724.68 = 400.61 : x
  2. Step 2: Convert to fraction form
    525.35/724.68 = 400.61/x
  3. Step 3: Cross multiply
    525.35x = 724.68 × 400.61
  4. Step 4: Simplify right side
    525.35x = 290,315.87
  5. Step 5: Solve for x
    x = 290,315.87/525.35
  6. Step 6: Final answer
    x = 552.61

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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.