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Finding the Fourth Proportional to 459.18, 633.15 and 334.62

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Solution

The fourth proportional to 459.18, 633.15 and 334.62 is: 461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.18 : 633.15 = 334.62 : x
  2. Step 2: Convert to fraction form
    459.18/633.15 = 334.62/x
  3. Step 3: Cross multiply
    459.18x = 633.15 × 334.62
  4. Step 4: Simplify right side
    459.18x = 211,864.65
  5. Step 5: Solve for x
    x = 211,864.65/459.18
  6. Step 6: Final answer
    x = 461.40

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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.