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Finding the Fourth Proportional to 404.65, 557.80 and 264.75

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Solution

The fourth proportional to 404.65, 557.80 and 264.75 is: 364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.65 : 557.80 = 264.75 : x
  2. Step 2: Convert to fraction form
    404.65/557.80 = 264.75/x
  3. Step 3: Cross multiply
    404.65x = 557.80 × 264.75
  4. Step 4: Simplify right side
    404.65x = 147,677.55
  5. Step 5: Solve for x
    x = 147,677.55/404.65
  6. Step 6: Final answer
    x = 364.95

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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.