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Finding the Fourth Proportional to 459.96, 689.82 and 277.26

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Solution

The fourth proportional to 459.96, 689.82 and 277.26 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.96 : 689.82 = 277.26 : x
  2. Step 2: Convert to fraction form
    459.96/689.82 = 277.26/x
  3. Step 3: Cross multiply
    459.96x = 689.82 × 277.26
  4. Step 4: Simplify right side
    459.96x = 191,259.49
  5. Step 5: Solve for x
    x = 191,259.49/459.96
  6. Step 6: Final answer
    x = 415.82

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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.