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Finding the Fourth Proportional to 535.69, 739.35 and 302.81

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Solution

The fourth proportional to 535.69, 739.35 and 302.81 is: 417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.69 : 739.35 = 302.81 : x
  2. Step 2: Convert to fraction form
    535.69/739.35 = 302.81/x
  3. Step 3: Cross multiply
    535.69x = 739.35 × 302.81
  4. Step 4: Simplify right side
    535.69x = 223,884.42
  5. Step 5: Solve for x
    x = 223,884.42/535.69
  6. Step 6: Final answer
    x = 417.94

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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.