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Finding the Fourth Proportional to 334.41, 459.02 and 296.74

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Solution

The fourth proportional to 334.41, 459.02 and 296.74 is: 407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.41 : 459.02 = 296.74 : x
  2. Step 2: Convert to fraction form
    334.41/459.02 = 296.74/x
  3. Step 3: Cross multiply
    334.41x = 459.02 × 296.74
  4. Step 4: Simplify right side
    334.41x = 136,209.59
  5. Step 5: Solve for x
    x = 136,209.59/334.41
  6. Step 6: Final answer
    x = 407.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.