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Finding the Fourth Proportional to 404.91, 607.77 and 274.92

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Solution

The fourth proportional to 404.91, 607.77 and 274.92 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.91 : 607.77 = 274.92 : x
  2. Step 2: Convert to fraction form
    404.91/607.77 = 274.92/x
  3. Step 3: Cross multiply
    404.91x = 607.77 × 274.92
  4. Step 4: Simplify right side
    404.91x = 167,088.13
  5. Step 5: Solve for x
    x = 167,088.13/404.91
  6. Step 6: Final answer
    x = 412.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.