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Finding the Fourth Proportional to 459.37, 689.06 and 286.53

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Solution

The fourth proportional to 459.37, 689.06 and 286.53 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.37 : 689.06 = 286.53 : x
  2. Step 2: Convert to fraction form
    459.37/689.06 = 286.53/x
  3. Step 3: Cross multiply
    459.37x = 689.06 × 286.53
  4. Step 4: Simplify right side
    459.37x = 197,439.66
  5. Step 5: Solve for x
    x = 197,439.66/459.37
  6. Step 6: Final answer
    x = 429.81

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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.