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Finding the Fourth Proportional to 333.00, 459.75 and 228.26

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Solution

The fourth proportional to 333.00, 459.75 and 228.26 is: 315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.00 : 459.75 = 228.26 : x
  2. Step 2: Convert to fraction form
    333.00/459.75 = 228.26/x
  3. Step 3: Cross multiply
    333.00x = 459.75 × 228.26
  4. Step 4: Simplify right side
    333.00x = 104,941.39
  5. Step 5: Solve for x
    x = 104,941.39/333.00
  6. Step 6: Final answer
    x = 315.14

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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.