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Finding the Fourth Proportional to 313.76, 433.48 and 265.47

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Solution

The fourth proportional to 313.76, 433.48 and 265.47 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 433.48 = 265.47 : x
  2. Step 2: Convert to fraction form
    313.76/433.48 = 265.47/x
  3. Step 3: Cross multiply
    313.76x = 433.48 × 265.47
  4. Step 4: Simplify right side
    313.76x = 115,075.94
  5. Step 5: Solve for x
    x = 115,075.94/313.76
  6. Step 6: Final answer
    x = 366.76

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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.