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Finding the Fourth Proportional to 830.25, 1,244.30 and 419.45

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Solution

The fourth proportional to 830.25, 1,244.30 and 419.45 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,244.30 = 419.45 : x
  2. Step 2: Convert to fraction form
    830.25/1,244.30 = 419.45/x
  3. Step 3: Cross multiply
    830.25x = 1,244.30 × 419.45
  4. Step 4: Simplify right side
    830.25x = 521,913.32
  5. Step 5: Solve for x
    x = 521,913.32/830.25
  6. Step 6: Final answer
    x = 628.62

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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.