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Finding the Fourth Proportional to 830.13, 1,245.33 and 310.11

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Solution

The fourth proportional to 830.13, 1,245.33 and 310.11 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.13 : 1,245.33 = 310.11 : x
  2. Step 2: Convert to fraction form
    830.13/1,245.33 = 310.11/x
  3. Step 3: Cross multiply
    830.13x = 1,245.33 × 310.11
  4. Step 4: Simplify right side
    830.13x = 386,189.29
  5. Step 5: Solve for x
    x = 386,189.29/830.13
  6. Step 6: Final answer
    x = 465.22

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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.