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Finding the Fourth Proportional to 404.70, 558.49 and 265.05

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Solution

The fourth proportional to 404.70, 558.49 and 265.05 is: 365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 558.49 = 265.05 : x
  2. Step 2: Convert to fraction form
    404.70/558.49 = 265.05/x
  3. Step 3: Cross multiply
    404.70x = 558.49 × 265.05
  4. Step 4: Simplify right side
    404.70x = 148,026.45
  5. Step 5: Solve for x
    x = 148,026.45/404.70
  6. Step 6: Final answer
    x = 365.77

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