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Finding the Fourth Proportional to 459.05, 633.51 and 262.58

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Solution

The fourth proportional to 459.05, 633.51 and 262.58 is: 362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.05 : 633.51 = 262.58 : x
  2. Step 2: Convert to fraction form
    459.05/633.51 = 262.58/x
  3. Step 3: Cross multiply
    459.05x = 633.51 × 262.58
  4. Step 4: Simplify right side
    459.05x = 166,347.06
  5. Step 5: Solve for x
    x = 166,347.06/459.05
  6. Step 6: Final answer
    x = 362.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.