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Finding the Fourth Proportional to 294.14, 438.89 and 263.49

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Solution

The fourth proportional to 294.14, 438.89 and 263.49 is: 393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 438.89 = 263.49 : x
  2. Step 2: Convert to fraction form
    294.14/438.89 = 263.49/x
  3. Step 3: Cross multiply
    294.14x = 438.89 × 263.49
  4. Step 4: Simplify right side
    294.14x = 115,641.81
  5. Step 5: Solve for x
    x = 115,641.81/294.14
  6. Step 6: Final answer
    x = 393.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.