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Finding the Fourth Proportional to 535.36, 803.14 and 304.35

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Solution

The fourth proportional to 535.36, 803.14 and 304.35 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 803.14 = 304.35 : x
  2. Step 2: Convert to fraction form
    535.36/803.14 = 304.35/x
  3. Step 3: Cross multiply
    535.36x = 803.14 × 304.35
  4. Step 4: Simplify right side
    535.36x = 244,431.64
  5. Step 5: Solve for x
    x = 244,431.64/535.36
  6. Step 6: Final answer
    x = 456.58

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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.