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Finding the Fourth Proportional to 373.14, 514.58 and 299.25

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Solution

The fourth proportional to 373.14, 514.58 and 299.25 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 514.58 = 299.25 : x
  2. Step 2: Convert to fraction form
    373.14/514.58 = 299.25/x
  3. Step 3: Cross multiply
    373.14x = 514.58 × 299.25
  4. Step 4: Simplify right side
    373.14x = 153,986.57
  5. Step 5: Solve for x
    x = 153,986.57/373.14
  6. Step 6: Final answer
    x = 412.68

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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.