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Finding the Fourth Proportional to 294.53, 405.75 and 245.31

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Solution

The fourth proportional to 294.53, 405.75 and 245.31 is: 337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.53 : 405.75 = 245.31 : x
  2. Step 2: Convert to fraction form
    294.53/405.75 = 245.31/x
  3. Step 3: Cross multiply
    294.53x = 405.75 × 245.31
  4. Step 4: Simplify right side
    294.53x = 99,534.53
  5. Step 5: Solve for x
    x = 99,534.53/294.53
  6. Step 6: Final answer
    x = 337.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.