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Finding the Fourth Proportional to 332.15, 457.73 and 314.21

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Solution

The fourth proportional to 332.15, 457.73 and 314.21 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.15 : 457.73 = 314.21 : x
  2. Step 2: Convert to fraction form
    332.15/457.73 = 314.21/x
  3. Step 3: Cross multiply
    332.15x = 457.73 × 314.21
  4. Step 4: Simplify right side
    332.15x = 143,824.23
  5. Step 5: Solve for x
    x = 143,824.23/332.15
  6. Step 6: Final answer
    x = 433.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.