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Finding the Fourth Proportional to 830.67, 1,246.06 and 310.66

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Solution

The fourth proportional to 830.67, 1,246.06 and 310.66 is: 466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,246.06 = 310.66 : x
  2. Step 2: Convert to fraction form
    830.67/1,246.06 = 310.66/x
  3. Step 3: Cross multiply
    830.67x = 1,246.06 × 310.66
  4. Step 4: Simplify right side
    830.67x = 387,093.22
  5. Step 5: Solve for x
    x = 387,093.22/830.67
  6. Step 6: Final answer
    x = 466.00

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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.