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Finding the Fourth Proportional to 514, 709.34 and 307.12

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Solution

The fourth proportional to 514, 709.34 and 307.12 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 709.34 = 307.12 : x
  2. Step 2: Convert to fraction form
    514/709.34 = 307.12/x
  3. Step 3: Cross multiply
    514x = 709.34 × 307.12
  4. Step 4: Simplify right side
    514x = 217,852.50
  5. Step 5: Solve for x
    x = 217,852.50/514
  6. Step 6: Final answer
    x = 423.84

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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.