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Finding the Fourth Proportional to 459.33, 689.23 and 185.50

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Solution

The fourth proportional to 459.33, 689.23 and 185.50 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.33 : 689.23 = 185.50 : x
  2. Step 2: Convert to fraction form
    459.33/689.23 = 185.50/x
  3. Step 3: Cross multiply
    459.33x = 689.23 × 185.50
  4. Step 4: Simplify right side
    459.33x = 127,852.17
  5. Step 5: Solve for x
    x = 127,852.17/459.33
  6. Step 6: Final answer
    x = 278.34

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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.