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Finding the Fourth Proportional to 459.50, 689.34 and 151.37

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Solution

The fourth proportional to 459.50, 689.34 and 151.37 is: 227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 689.34 = 151.37 : x
  2. Step 2: Convert to fraction form
    459.50/689.34 = 151.37/x
  3. Step 3: Cross multiply
    459.50x = 689.34 × 151.37
  4. Step 4: Simplify right side
    459.50x = 104,345.40
  5. Step 5: Solve for x
    x = 104,345.40/459.50
  6. Step 6: Final answer
    x = 227.08

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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.