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Finding the Fourth Proportional to 344.34, 514.13 and 307.62

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Solution

The fourth proportional to 344.34, 514.13 and 307.62 is: 459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 514.13 = 307.62 : x
  2. Step 2: Convert to fraction form
    344.34/514.13 = 307.62/x
  3. Step 3: Cross multiply
    344.34x = 514.13 × 307.62
  4. Step 4: Simplify right side
    344.34x = 158,155.13
  5. Step 5: Solve for x
    x = 158,155.13/344.34
  6. Step 6: Final answer
    x = 459.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.