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Finding the Fourth Proportional to 459.87, 634.38 and 312.60

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Solution

The fourth proportional to 459.87, 634.38 and 312.60 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 634.38 = 312.60 : x
  2. Step 2: Convert to fraction form
    459.87/634.38 = 312.60/x
  3. Step 3: Cross multiply
    459.87x = 634.38 × 312.60
  4. Step 4: Simplify right side
    459.87x = 198,307.19
  5. Step 5: Solve for x
    x = 198,307.19/459.87
  6. Step 6: Final answer
    x = 431.22

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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.