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Finding the Fourth Proportional to 635.22, 875.61 and 524.52

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Solution

The fourth proportional to 635.22, 875.61 and 524.52 is: 723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 875.61 = 524.52 : x
  2. Step 2: Convert to fraction form
    635.22/875.61 = 524.52/x
  3. Step 3: Cross multiply
    635.22x = 875.61 × 524.52
  4. Step 4: Simplify right side
    635.22x = 459,274.96
  5. Step 5: Solve for x
    x = 459,274.96/635.22
  6. Step 6: Final answer
    x = 723.02

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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.