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Finding the Fourth Proportional to 795.88, 1,194.45 and 309.16

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Solution

The fourth proportional to 795.88, 1,194.45 and 309.16 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.88 : 1,194.45 = 309.16 : x
  2. Step 2: Convert to fraction form
    795.88/1,194.45 = 309.16/x
  3. Step 3: Cross multiply
    795.88x = 1,194.45 × 309.16
  4. Step 4: Simplify right side
    795.88x = 369,276.16
  5. Step 5: Solve for x
    x = 369,276.16/795.88
  6. Step 6: Final answer
    x = 463.98

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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.