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Finding the Fourth Proportional to 458.63, 632.64 and 334.09

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Solution

The fourth proportional to 458.63, 632.64 and 334.09 is: 460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 632.64 = 334.09 : x
  2. Step 2: Convert to fraction form
    458.63/632.64 = 334.09/x
  3. Step 3: Cross multiply
    458.63x = 632.64 × 334.09
  4. Step 4: Simplify right side
    458.63x = 211,360.74
  5. Step 5: Solve for x
    x = 211,360.74/458.63
  6. Step 6: Final answer
    x = 460.85

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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.