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Finding the Fourth Proportional to 536.24, 803.30 and 353.07

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Solution

The fourth proportional to 536.24, 803.30 and 353.07 is: 528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 803.30 = 353.07 : x
  2. Step 2: Convert to fraction form
    536.24/803.30 = 353.07/x
  3. Step 3: Cross multiply
    536.24x = 803.30 × 353.07
  4. Step 4: Simplify right side
    536.24x = 283,619.37
  5. Step 5: Solve for x
    x = 283,619.37/536.24
  6. Step 6: Final answer
    x = 528.91

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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.