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Finding the Fourth Proportional to 830.14, 1,245.05 and 282.31

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Solution

The fourth proportional to 830.14, 1,245.05 and 282.31 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.14 : 1,245.05 = 282.31 : x
  2. Step 2: Convert to fraction form
    830.14/1,245.05 = 282.31/x
  3. Step 3: Cross multiply
    830.14x = 1,245.05 × 282.31
  4. Step 4: Simplify right side
    830.14x = 351,482.43
  5. Step 5: Solve for x
    x = 351,482.43/830.14
  6. Step 6: Final answer
    x = 423.40

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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.