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Finding the Fourth Proportional to 813.63, 1,220.46 and 294

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Solution

The fourth proportional to 813.63, 1,220.46 and 294 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.63 : 1,220.46 = 294 : x
  2. Step 2: Convert to fraction form
    813.63/1,220.46 = 294/x
  3. Step 3: Cross multiply
    813.63x = 1,220.46 × 294
  4. Step 4: Simplify right side
    813.63x = 358,815.24
  5. Step 5: Solve for x
    x = 358,815.24/813.63
  6. Step 6: Final answer
    x = 441.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.