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Finding the Fourth Proportional to 312.99, 432.06 and 208.08

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Solution

The fourth proportional to 312.99, 432.06 and 208.08 is: 287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.99 : 432.06 = 208.08 : x
  2. Step 2: Convert to fraction form
    312.99/432.06 = 208.08/x
  3. Step 3: Cross multiply
    312.99x = 432.06 × 208.08
  4. Step 4: Simplify right side
    312.99x = 89,903.04
  5. Step 5: Solve for x
    x = 89,903.04/312.99
  6. Step 6: Final answer
    x = 287.24

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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.