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Finding the Fourth Proportional to 459.69, 689.19 and 277.04

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Solution

The fourth proportional to 459.69, 689.19 and 277.04 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.69 : 689.19 = 277.04 : x
  2. Step 2: Convert to fraction form
    459.69/689.19 = 277.04/x
  3. Step 3: Cross multiply
    459.69x = 689.19 × 277.04
  4. Step 4: Simplify right side
    459.69x = 190,933.88
  5. Step 5: Solve for x
    x = 190,933.88/459.69
  6. Step 6: Final answer
    x = 415.36

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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.