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Finding the Fourth Proportional to 535.54, 803.44 and 316.34

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Solution

The fourth proportional to 535.54, 803.44 and 316.34 is: 474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.54 : 803.44 = 316.34 : x
  2. Step 2: Convert to fraction form
    535.54/803.44 = 316.34/x
  3. Step 3: Cross multiply
    535.54x = 803.44 × 316.34
  4. Step 4: Simplify right side
    535.54x = 254,160.21
  5. Step 5: Solve for x
    x = 254,160.21/535.54
  6. Step 6: Final answer
    x = 474.59

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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.