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Finding the Fourth Proportional to 459.24, 634.63 and 341.38

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Solution

The fourth proportional to 459.24, 634.63 and 341.38 is: 471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 634.63 = 341.38 : x
  2. Step 2: Convert to fraction form
    459.24/634.63 = 341.38/x
  3. Step 3: Cross multiply
    459.24x = 634.63 × 341.38
  4. Step 4: Simplify right side
    459.24x = 216,649.99
  5. Step 5: Solve for x
    x = 216,649.99/459.24
  6. Step 6: Final answer
    x = 471.76

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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.