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Finding the Fourth Proportional to 344.60, 514.59 and 299.06

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Solution

The fourth proportional to 344.60, 514.59 and 299.06 is: 446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.60 : 514.59 = 299.06 : x
  2. Step 2: Convert to fraction form
    344.60/514.59 = 299.06/x
  3. Step 3: Cross multiply
    344.60x = 514.59 × 299.06
  4. Step 4: Simplify right side
    344.60x = 153,891.79
  5. Step 5: Solve for x
    x = 153,891.79/344.60
  6. Step 6: Final answer
    x = 446.58

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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.