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Finding the Fourth Proportional to 459.92, 690.14 and 305.93

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Solution

The fourth proportional to 459.92, 690.14 and 305.93 is: 459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 690.14 = 305.93 : x
  2. Step 2: Convert to fraction form
    459.92/690.14 = 305.93/x
  3. Step 3: Cross multiply
    459.92x = 690.14 × 305.93
  4. Step 4: Simplify right side
    459.92x = 211,129.55
  5. Step 5: Solve for x
    x = 211,129.55/459.92
  6. Step 6: Final answer
    x = 459.06

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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.