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Finding the Fourth Proportional to 459.74, 689.53 and 151.59

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Solution

The fourth proportional to 459.74, 689.53 and 151.59 is: 227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 689.53 = 151.59 : x
  2. Step 2: Convert to fraction form
    459.74/689.53 = 151.59/x
  3. Step 3: Cross multiply
    459.74x = 689.53 × 151.59
  4. Step 4: Simplify right side
    459.74x = 104,524.47
  5. Step 5: Solve for x
    x = 104,524.47/459.74
  6. Step 6: Final answer
    x = 227.35

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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.