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Finding the Fourth Proportional to 451.95, 624.27 and 334.16

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Solution

The fourth proportional to 451.95, 624.27 and 334.16 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.95 : 624.27 = 334.16 : x
  2. Step 2: Convert to fraction form
    451.95/624.27 = 334.16/x
  3. Step 3: Cross multiply
    451.95x = 624.27 × 334.16
  4. Step 4: Simplify right side
    451.95x = 208,606.06
  5. Step 5: Solve for x
    x = 208,606.06/451.95
  6. Step 6: Final answer
    x = 461.57

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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.