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Finding the Fourth Proportional to 295.94, 446 and 267.10

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Solution

The fourth proportional to 295.94, 446 and 267.10 is: 402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.94 : 446 = 267.10 : x
  2. Step 2: Convert to fraction form
    295.94/446 = 267.10/x
  3. Step 3: Cross multiply
    295.94x = 446 × 267.10
  4. Step 4: Simplify right side
    295.94x = 119,126.60
  5. Step 5: Solve for x
    x = 119,126.60/295.94
  6. Step 6: Final answer
    x = 402.54

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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.