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Finding the Fourth Proportional to 416.46, 575.02 and 334.02

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Solution

The fourth proportional to 416.46, 575.02 and 334.02 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 575.02 = 334.02 : x
  2. Step 2: Convert to fraction form
    416.46/575.02 = 334.02/x
  3. Step 3: Cross multiply
    416.46x = 575.02 × 334.02
  4. Step 4: Simplify right side
    416.46x = 192,068.18
  5. Step 5: Solve for x
    x = 192,068.18/416.46
  6. Step 6: Final answer
    x = 461.19

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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.