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Finding the Fourth Proportional to 295.86, 446.04 and 293.42

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Solution

The fourth proportional to 295.86, 446.04 and 293.42 is: 442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.86 : 446.04 = 293.42 : x
  2. Step 2: Convert to fraction form
    295.86/446.04 = 293.42/x
  3. Step 3: Cross multiply
    295.86x = 446.04 × 293.42
  4. Step 4: Simplify right side
    295.86x = 130,877.06
  5. Step 5: Solve for x
    x = 130,877.06/295.86
  6. Step 6: Final answer
    x = 442.36

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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.