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Finding the Fourth Proportional to 295.63, 407.84 and 208.35

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Solution

The fourth proportional to 295.63, 407.84 and 208.35 is: 287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.63 : 407.84 = 208.35 : x
  2. Step 2: Convert to fraction form
    295.63/407.84 = 208.35/x
  3. Step 3: Cross multiply
    295.63x = 407.84 × 208.35
  4. Step 4: Simplify right side
    295.63x = 84,973.46
  5. Step 5: Solve for x
    x = 84,973.46/295.63
  6. Step 6: Final answer
    x = 287.43

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