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Finding the Fourth Proportional to 294.50, 407.25 and 264.93

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Solution

The fourth proportional to 294.50, 407.25 and 264.93 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 407.25 = 264.93 : x
  2. Step 2: Convert to fraction form
    294.50/407.25 = 264.93/x
  3. Step 3: Cross multiply
    294.50x = 407.25 × 264.93
  4. Step 4: Simplify right side
    294.50x = 107,892.74
  5. Step 5: Solve for x
    x = 107,892.74/294.50
  6. Step 6: Final answer
    x = 366.37

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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.