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Finding the Fourth Proportional to 535.70, 739.26 and 302.83

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Solution

The fourth proportional to 535.70, 739.26 and 302.83 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.70 : 739.26 = 302.83 : x
  2. Step 2: Convert to fraction form
    535.70/739.26 = 302.83/x
  3. Step 3: Cross multiply
    535.70x = 739.26 × 302.83
  4. Step 4: Simplify right side
    535.70x = 223,870.11
  5. Step 5: Solve for x
    x = 223,870.11/535.70
  6. Step 6: Final answer
    x = 417.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.