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Finding the Fourth Proportional to 403.63, 557.09 and 229

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Solution

The fourth proportional to 403.63, 557.09 and 229 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 557.09 = 229 : x
  2. Step 2: Convert to fraction form
    403.63/557.09 = 229/x
  3. Step 3: Cross multiply
    403.63x = 557.09 × 229
  4. Step 4: Simplify right side
    403.63x = 127,572.47
  5. Step 5: Solve for x
    x = 127,572.47/403.63
  6. Step 6: Final answer
    x = 316.07

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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.