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Finding the Fourth Proportional to 459.75, 689.97 and 305.98

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Solution

The fourth proportional to 459.75, 689.97 and 305.98 is: 459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 689.97 = 305.98 : x
  2. Step 2: Convert to fraction form
    459.75/689.97 = 305.98/x
  3. Step 3: Cross multiply
    459.75x = 689.97 × 305.98
  4. Step 4: Simplify right side
    459.75x = 211,114.72
  5. Step 5: Solve for x
    x = 211,114.72/459.75
  6. Step 6: Final answer
    x = 459.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.