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Finding the Fourth Proportional to 459.57, 689.34 and 305.46

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Solution

The fourth proportional to 459.57, 689.34 and 305.46 is: 458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 689.34 = 305.46 : x
  2. Step 2: Convert to fraction form
    459.57/689.34 = 305.46/x
  3. Step 3: Cross multiply
    459.57x = 689.34 × 305.46
  4. Step 4: Simplify right side
    459.57x = 210,566.94
  5. Step 5: Solve for x
    x = 210,566.94/459.57
  6. Step 6: Final answer
    x = 458.18

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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.