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Finding the Fourth Proportional to 302.31, 416.68 and 260.70

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Solution

The fourth proportional to 302.31, 416.68 and 260.70 is: 359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.31 : 416.68 = 260.70 : x
  2. Step 2: Convert to fraction form
    302.31/416.68 = 260.70/x
  3. Step 3: Cross multiply
    302.31x = 416.68 × 260.70
  4. Step 4: Simplify right side
    302.31x = 108,628.48
  5. Step 5: Solve for x
    x = 108,628.48/302.31
  6. Step 6: Final answer
    x = 359.33

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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.