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Finding the Fourth Proportional to 335.74, 501.34 and 266.50

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Solution

The fourth proportional to 335.74, 501.34 and 266.50 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.74 : 501.34 = 266.50 : x
  2. Step 2: Convert to fraction form
    335.74/501.34 = 266.50/x
  3. Step 3: Cross multiply
    335.74x = 501.34 × 266.50
  4. Step 4: Simplify right side
    335.74x = 133,607.11
  5. Step 5: Solve for x
    x = 133,607.11/335.74
  6. Step 6: Final answer
    x = 397.95

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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.