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Finding the Fourth Proportional to 373.55, 514.35 and 299.57

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Solution

The fourth proportional to 373.55, 514.35 and 299.57 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.55 : 514.35 = 299.57 : x
  2. Step 2: Convert to fraction form
    373.55/514.35 = 299.57/x
  3. Step 3: Cross multiply
    373.55x = 514.35 × 299.57
  4. Step 4: Simplify right side
    373.55x = 154,081.26
  5. Step 5: Solve for x
    x = 154,081.26/373.55
  6. Step 6: Final answer
    x = 412.48

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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.