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Finding the Fourth Proportional to 980.35, 1,470.74 and 364.06

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Solution

The fourth proportional to 980.35, 1,470.74 and 364.06 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.35 : 1,470.74 = 364.06 : x
  2. Step 2: Convert to fraction form
    980.35/1,470.74 = 364.06/x
  3. Step 3: Cross multiply
    980.35x = 1,470.74 × 364.06
  4. Step 4: Simplify right side
    980.35x = 535,437.60
  5. Step 5: Solve for x
    x = 535,437.60/980.35
  6. Step 6: Final answer
    x = 546.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.