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Finding the Fourth Proportional to 294.36, 405.91 and 253.05

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Solution

The fourth proportional to 294.36, 405.91 and 253.05 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.36 : 405.91 = 253.05 : x
  2. Step 2: Convert to fraction form
    294.36/405.91 = 253.05/x
  3. Step 3: Cross multiply
    294.36x = 405.91 × 253.05
  4. Step 4: Simplify right side
    294.36x = 102,715.53
  5. Step 5: Solve for x
    x = 102,715.53/294.36
  6. Step 6: Final answer
    x = 348.95

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Why These Related Problems?

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