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Finding the Fourth Proportional to 534.06, 737.34 and 347.64

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Solution

The fourth proportional to 534.06, 737.34 and 347.64 is: 479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.06 : 737.34 = 347.64 : x
  2. Step 2: Convert to fraction form
    534.06/737.34 = 347.64/x
  3. Step 3: Cross multiply
    534.06x = 737.34 × 347.64
  4. Step 4: Simplify right side
    534.06x = 256,328.88
  5. Step 5: Solve for x
    x = 256,328.88/534.06
  6. Step 6: Final answer
    x = 479.96

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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.