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Finding the Fourth Proportional to 333.74, 459.69 and 314.69

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Solution

The fourth proportional to 333.74, 459.69 and 314.69 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 459.69 = 314.69 : x
  2. Step 2: Convert to fraction form
    333.74/459.69 = 314.69/x
  3. Step 3: Cross multiply
    333.74x = 459.69 × 314.69
  4. Step 4: Simplify right side
    333.74x = 144,659.85
  5. Step 5: Solve for x
    x = 144,659.85/333.74
  6. Step 6: Final answer
    x = 433.45

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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.