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Finding the Fourth Proportional to 373.86, 515.70 and 280.50

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Solution

The fourth proportional to 373.86, 515.70 and 280.50 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 515.70 = 280.50 : x
  2. Step 2: Convert to fraction form
    373.86/515.70 = 280.50/x
  3. Step 3: Cross multiply
    373.86x = 515.70 × 280.50
  4. Step 4: Simplify right side
    373.86x = 144,653.85
  5. Step 5: Solve for x
    x = 144,653.85/373.86
  6. Step 6: Final answer
    x = 386.92

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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.