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Finding the Fourth Proportional to 373.41, 514.98 and 299.70

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Solution

The fourth proportional to 373.41, 514.98 and 299.70 is: 413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.41 : 514.98 = 299.70 : x
  2. Step 2: Convert to fraction form
    373.41/514.98 = 299.70/x
  3. Step 3: Cross multiply
    373.41x = 514.98 × 299.70
  4. Step 4: Simplify right side
    373.41x = 154,339.51
  5. Step 5: Solve for x
    x = 154,339.51/373.41
  6. Step 6: Final answer
    x = 413.32

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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.