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Finding the Fourth Proportional to 458.86, 633.82 and 334.94

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Solution

The fourth proportional to 458.86, 633.82 and 334.94 is: 462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 633.82 = 334.94 : x
  2. Step 2: Convert to fraction form
    458.86/633.82 = 334.94/x
  3. Step 3: Cross multiply
    458.86x = 633.82 × 334.94
  4. Step 4: Simplify right side
    458.86x = 212,291.67
  5. Step 5: Solve for x
    x = 212,291.67/458.86
  6. Step 6: Final answer
    x = 462.65

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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.