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Finding the Fourth Proportional to 970.23, 1,454.90 and 311.98

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Solution

The fourth proportional to 970.23, 1,454.90 and 311.98 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.23 : 1,454.90 = 311.98 : x
  2. Step 2: Convert to fraction form
    970.23/1,454.90 = 311.98/x
  3. Step 3: Cross multiply
    970.23x = 1,454.90 × 311.98
  4. Step 4: Simplify right side
    970.23x = 453,904.03
  5. Step 5: Solve for x
    x = 453,904.03/970.23
  6. Step 6: Final answer
    x = 467.83

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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.