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Finding the Fourth Proportional to 313.95, 471.06 and 265.51

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Solution

The fourth proportional to 313.95, 471.06 and 265.51 is: 398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 471.06 = 265.51 : x
  2. Step 2: Convert to fraction form
    313.95/471.06 = 265.51/x
  3. Step 3: Cross multiply
    313.95x = 471.06 × 265.51
  4. Step 4: Simplify right side
    313.95x = 125,071.14
  5. Step 5: Solve for x
    x = 125,071.14/313.95
  6. Step 6: Final answer
    x = 398.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.