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Finding the Fourth Proportional to 830.09, 1,245.30 and 282.13

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Solution

The fourth proportional to 830.09, 1,245.30 and 282.13 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.09 : 1,245.30 = 282.13 : x
  2. Step 2: Convert to fraction form
    830.09/1,245.30 = 282.13/x
  3. Step 3: Cross multiply
    830.09x = 1,245.30 × 282.13
  4. Step 4: Simplify right side
    830.09x = 351,330.26
  5. Step 5: Solve for x
    x = 351,330.26/830.09
  6. Step 6: Final answer
    x = 423.24

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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.