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Finding the Fourth Proportional to 830.00, 1,244.13 and 309.67

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Solution

The fourth proportional to 830.00, 1,244.13 and 309.67 is: 464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.00 : 1,244.13 = 309.67 : x
  2. Step 2: Convert to fraction form
    830.00/1,244.13 = 309.67/x
  3. Step 3: Cross multiply
    830.00x = 1,244.13 × 309.67
  4. Step 4: Simplify right side
    830.00x = 385,269.74
  5. Step 5: Solve for x
    x = 385,269.74/830.00
  6. Step 6: Final answer
    x = 464.18

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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.