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Finding the Fourth Proportional to 514.34, 708.52 and 374.05

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Solution

The fourth proportional to 514.34, 708.52 and 374.05 is: 515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.34 : 708.52 = 374.05 : x
  2. Step 2: Convert to fraction form
    514.34/708.52 = 374.05/x
  3. Step 3: Cross multiply
    514.34x = 708.52 × 374.05
  4. Step 4: Simplify right side
    514.34x = 265,021.91
  5. Step 5: Solve for x
    x = 265,021.91/514.34
  6. Step 6: Final answer
    x = 515.27

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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.