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Finding the Fourth Proportional to 459.75, 689.57 and 185.64

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Solution

The fourth proportional to 459.75, 689.57 and 185.64 is: 278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 689.57 = 185.64 : x
  2. Step 2: Convert to fraction form
    459.75/689.57 = 185.64/x
  3. Step 3: Cross multiply
    459.75x = 689.57 × 185.64
  4. Step 4: Simplify right side
    459.75x = 128,011.77
  5. Step 5: Solve for x
    x = 128,011.77/459.75
  6. Step 6: Final answer
    x = 278.44

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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.