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Finding the Fourth Proportional to 404.74, 558.66 and 264.93

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Solution

The fourth proportional to 404.74, 558.66 and 264.93 is: 365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.74 : 558.66 = 264.93 : x
  2. Step 2: Convert to fraction form
    404.74/558.66 = 264.93/x
  3. Step 3: Cross multiply
    404.74x = 558.66 × 264.93
  4. Step 4: Simplify right side
    404.74x = 148,003.00
  5. Step 5: Solve for x
    x = 148,003.00/404.74
  6. Step 6: Final answer
    x = 365.67

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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.