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Finding the Fourth Proportional to 459.13, 688.37 and 185.14

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Solution

The fourth proportional to 459.13, 688.37 and 185.14 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.13 : 688.37 = 185.14 : x
  2. Step 2: Convert to fraction form
    459.13/688.37 = 185.14/x
  3. Step 3: Cross multiply
    459.13x = 688.37 × 185.14
  4. Step 4: Simplify right side
    459.13x = 127,444.82
  5. Step 5: Solve for x
    x = 127,444.82/459.13
  6. Step 6: Final answer
    x = 277.58

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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.