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Finding the Fourth Proportional to 829.95, 1,244.52 and 309.93

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Solution

The fourth proportional to 829.95, 1,244.52 and 309.93 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.95 : 1,244.52 = 309.93 : x
  2. Step 2: Convert to fraction form
    829.95/1,244.52 = 309.93/x
  3. Step 3: Cross multiply
    829.95x = 1,244.52 × 309.93
  4. Step 4: Simplify right side
    829.95x = 385,714.08
  5. Step 5: Solve for x
    x = 385,714.08/829.95
  6. Step 6: Final answer
    x = 464.74

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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.