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Finding the Fourth Proportional to 830.41, 1,245.61 and 253.28

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Solution

The fourth proportional to 830.41, 1,245.61 and 253.28 is: 379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.41 : 1,245.61 = 253.28 : x
  2. Step 2: Convert to fraction form
    830.41/1,245.61 = 253.28/x
  3. Step 3: Cross multiply
    830.41x = 1,245.61 × 253.28
  4. Step 4: Simplify right side
    830.41x = 315,488.10
  5. Step 5: Solve for x
    x = 315,488.10/830.41
  6. Step 6: Final answer
    x = 379.92

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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.