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Finding the Fourth Proportional to 534.34, 737.35 and 298.27

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Solution

The fourth proportional to 534.34, 737.35 and 298.27 is: 411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.34 : 737.35 = 298.27 : x
  2. Step 2: Convert to fraction form
    534.34/737.35 = 298.27/x
  3. Step 3: Cross multiply
    534.34x = 737.35 × 298.27
  4. Step 4: Simplify right side
    534.34x = 219,929.38
  5. Step 5: Solve for x
    x = 219,929.38/534.34
  6. Step 6: Final answer
    x = 411.59

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1.5x scale

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.