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Finding the Fourth Proportional to 403.70, 557.06 and 229

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Solution

The fourth proportional to 403.70, 557.06 and 229 is: 315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.70 : 557.06 = 229 : x
  2. Step 2: Convert to fraction form
    403.70/557.06 = 229/x
  3. Step 3: Cross multiply
    403.70x = 557.06 × 229
  4. Step 4: Simplify right side
    403.70x = 127,566.74
  5. Step 5: Solve for x
    x = 127,566.74/403.70
  6. Step 6: Final answer
    x = 315.99

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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.