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Finding the Fourth Proportional to 295.83, 445.34 and 266.06

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Solution

The fourth proportional to 295.83, 445.34 and 266.06 is: 400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.83 : 445.34 = 266.06 : x
  2. Step 2: Convert to fraction form
    295.83/445.34 = 266.06/x
  3. Step 3: Cross multiply
    295.83x = 445.34 × 266.06
  4. Step 4: Simplify right side
    295.83x = 118,488.94
  5. Step 5: Solve for x
    x = 118,488.94/295.83
  6. Step 6: Final answer
    x = 400.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.