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Finding the Fourth Proportional to 459.63, 689.57 and 185.66

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Solution

The fourth proportional to 459.63, 689.57 and 185.66 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 689.57 = 185.66 : x
  2. Step 2: Convert to fraction form
    459.63/689.57 = 185.66/x
  3. Step 3: Cross multiply
    459.63x = 689.57 × 185.66
  4. Step 4: Simplify right side
    459.63x = 128,024.47
  5. Step 5: Solve for x
    x = 128,024.47/459.63
  6. Step 6: Final answer
    x = 278.54

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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.