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Finding the Fourth Proportional to 295.73, 410.84 and 293.06

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Solution

The fourth proportional to 295.73, 410.84 and 293.06 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 410.84 = 293.06 : x
  2. Step 2: Convert to fraction form
    295.73/410.84 = 293.06/x
  3. Step 3: Cross multiply
    295.73x = 410.84 × 293.06
  4. Step 4: Simplify right side
    295.73x = 120,397.25
  5. Step 5: Solve for x
    x = 120,397.25/295.73
  6. Step 6: Final answer
    x = 407.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.