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Finding the Fourth Proportional to 295.34, 407.60 and 208.04

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Solution

The fourth proportional to 295.34, 407.60 and 208.04 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 407.60 = 208.04 : x
  2. Step 2: Convert to fraction form
    295.34/407.60 = 208.04/x
  3. Step 3: Cross multiply
    295.34x = 407.60 × 208.04
  4. Step 4: Simplify right side
    295.34x = 84,797.10
  5. Step 5: Solve for x
    x = 84,797.10/295.34
  6. Step 6: Final answer
    x = 287.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.