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Finding the Fourth Proportional to 459.26, 632.66 and 334.60

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Solution

The fourth proportional to 459.26, 632.66 and 334.60 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 632.66 = 334.60 : x
  2. Step 2: Convert to fraction form
    459.26/632.66 = 334.60/x
  3. Step 3: Cross multiply
    459.26x = 632.66 × 334.60
  4. Step 4: Simplify right side
    459.26x = 211,688.04
  5. Step 5: Solve for x
    x = 211,688.04/459.26
  6. Step 6: Final answer
    x = 460.93

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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.