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Finding the Fourth Proportional to 535.50, 739.06 and 302.63

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Solution

The fourth proportional to 535.50, 739.06 and 302.63 is: 417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 739.06 = 302.63 : x
  2. Step 2: Convert to fraction form
    535.50/739.06 = 302.63/x
  3. Step 3: Cross multiply
    535.50x = 739.06 × 302.63
  4. Step 4: Simplify right side
    535.50x = 223,657.28
  5. Step 5: Solve for x
    x = 223,657.28/535.50
  6. Step 6: Final answer
    x = 417.66

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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.