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Finding the Fourth Proportional to 274.35, 407.99 and 265.70

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Solution

The fourth proportional to 274.35, 407.99 and 265.70 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 407.99 = 265.70 : x
  2. Step 2: Convert to fraction form
    274.35/407.99 = 265.70/x
  3. Step 3: Cross multiply
    274.35x = 407.99 × 265.70
  4. Step 4: Simplify right side
    274.35x = 108,402.83
  5. Step 5: Solve for x
    x = 108,402.83/274.35
  6. Step 6: Final answer
    x = 395.13

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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.