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Finding the Fourth Proportional to 459.14, 689.42 and 277.34

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Solution

The fourth proportional to 459.14, 689.42 and 277.34 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 689.42 = 277.34 : x
  2. Step 2: Convert to fraction form
    459.14/689.42 = 277.34/x
  3. Step 3: Cross multiply
    459.14x = 689.42 × 277.34
  4. Step 4: Simplify right side
    459.14x = 191,203.74
  5. Step 5: Solve for x
    x = 191,203.74/459.14
  6. Step 6: Final answer
    x = 416.44

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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.