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Finding the Fourth Proportional to 304.03, 419.49 and 259.93

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Solution

The fourth proportional to 304.03, 419.49 and 259.93 is: 358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.03 : 419.49 = 259.93 : x
  2. Step 2: Convert to fraction form
    304.03/419.49 = 259.93/x
  3. Step 3: Cross multiply
    304.03x = 419.49 × 259.93
  4. Step 4: Simplify right side
    304.03x = 109,038.04
  5. Step 5: Solve for x
    x = 109,038.04/304.03
  6. Step 6: Final answer
    x = 358.64

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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.