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Finding the Fourth Proportional to 514.34, 709.49 and 374.27

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Solution

The fourth proportional to 514.34, 709.49 and 374.27 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.34 : 709.49 = 374.27 : x
  2. Step 2: Convert to fraction form
    514.34/709.49 = 374.27/x
  3. Step 3: Cross multiply
    514.34x = 709.49 × 374.27
  4. Step 4: Simplify right side
    514.34x = 265,538.95
  5. Step 5: Solve for x
    x = 265,538.95/514.34
  6. Step 6: Final answer
    x = 516.27

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Double scale
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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.