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Finding the Fourth Proportional to 459.70, 689.53 and 151.57

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Solution

The fourth proportional to 459.70, 689.53 and 151.57 is: 227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.70 : 689.53 = 151.57 : x
  2. Step 2: Convert to fraction form
    459.70/689.53 = 151.57/x
  3. Step 3: Cross multiply
    459.70x = 689.53 × 151.57
  4. Step 4: Simplify right side
    459.70x = 104,512.06
  5. Step 5: Solve for x
    x = 104,512.06/459.70
  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.