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Finding the Fourth Proportional to 459.63, 634.92 and 312.90

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Solution

The fourth proportional to 459.63, 634.92 and 312.90 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 634.92 = 312.90 : x
  2. Step 2: Convert to fraction form
    459.63/634.92 = 312.90/x
  3. Step 3: Cross multiply
    459.63x = 634.92 × 312.90
  4. Step 4: Simplify right side
    459.63x = 198,666.47
  5. Step 5: Solve for x
    x = 198,666.47/459.63
  6. Step 6: Final answer
    x = 432.23

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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.