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Finding the Fourth Proportional to 378.81, 523.14 and 314.01

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Solution

The fourth proportional to 378.81, 523.14 and 314.01 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 523.14 = 314.01 : x
  2. Step 2: Convert to fraction form
    378.81/523.14 = 314.01/x
  3. Step 3: Cross multiply
    378.81x = 523.14 × 314.01
  4. Step 4: Simplify right side
    378.81x = 164,271.19
  5. Step 5: Solve for x
    x = 164,271.19/378.81
  6. Step 6: Final answer
    x = 433.65

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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.