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Finding the Fourth Proportional to 534.92, 734.63 and 496.85

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Solution

The fourth proportional to 534.92, 734.63 and 496.85 is: 682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.92 : 734.63 = 496.85 : x
  2. Step 2: Convert to fraction form
    534.92/734.63 = 496.85/x
  3. Step 3: Cross multiply
    534.92x = 734.63 × 496.85
  4. Step 4: Simplify right side
    534.92x = 364,994.76
  5. Step 5: Solve for x
    x = 364,994.76/534.92
  6. Step 6: Final answer
    x = 682.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.