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Finding the Fourth Proportional to 354.09, 488.04 and 303.93

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Solution

The fourth proportional to 354.09, 488.04 and 303.93 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 488.04 = 303.93 : x
  2. Step 2: Convert to fraction form
    354.09/488.04 = 303.93/x
  3. Step 3: Cross multiply
    354.09x = 488.04 × 303.93
  4. Step 4: Simplify right side
    354.09x = 148,330.00
  5. Step 5: Solve for x
    x = 148,330.00/354.09
  6. Step 6: Final answer
    x = 418.90

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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.