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Finding the Fourth Proportional to 373.17, 514.71 and 299.46

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Solution

The fourth proportional to 373.17, 514.71 and 299.46 is: 413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.17 : 514.71 = 299.46 : x
  2. Step 2: Convert to fraction form
    373.17/514.71 = 299.46/x
  3. Step 3: Cross multiply
    373.17x = 514.71 × 299.46
  4. Step 4: Simplify right side
    373.17x = 154,135.06
  5. Step 5: Solve for x
    x = 154,135.06/373.17
  6. Step 6: Final answer
    x = 413.04

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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.