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Finding the Fourth Proportional to 304.09, 419.93 and 260.17

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Solution

The fourth proportional to 304.09, 419.93 and 260.17 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.09 : 419.93 = 260.17 : x
  2. Step 2: Convert to fraction form
    304.09/419.93 = 260.17/x
  3. Step 3: Cross multiply
    304.09x = 419.93 × 260.17
  4. Step 4: Simplify right side
    304.09x = 109,253.19
  5. Step 5: Solve for x
    x = 109,253.19/304.09
  6. Step 6: Final answer
    x = 359.28

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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.