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Finding the Fourth Proportional to 459.22, 689.64 and 268.06

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Solution

The fourth proportional to 459.22, 689.64 and 268.06 is: 402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 689.64 = 268.06 : x
  2. Step 2: Convert to fraction form
    459.22/689.64 = 268.06/x
  3. Step 3: Cross multiply
    459.22x = 689.64 × 268.06
  4. Step 4: Simplify right side
    459.22x = 184,864.90
  5. Step 5: Solve for x
    x = 184,864.90/459.22
  6. Step 6: Final answer
    x = 402.56

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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.