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Finding the Fourth Proportional to 830.63, 1,245.14 and 310.49

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Solution

The fourth proportional to 830.63, 1,245.14 and 310.49 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.63 : 1,245.14 = 310.49 : x
  2. Step 2: Convert to fraction form
    830.63/1,245.14 = 310.49/x
  3. Step 3: Cross multiply
    830.63x = 1,245.14 × 310.49
  4. Step 4: Simplify right side
    830.63x = 386,595.74
  5. Step 5: Solve for x
    x = 386,595.74/830.63
  6. Step 6: Final answer
    x = 465.43

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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.