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Finding the Fourth Proportional to 304.47, 417.42 and 299

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Solution

The fourth proportional to 304.47, 417.42 and 299 is: 409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.47 : 417.42 = 299 : x
  2. Step 2: Convert to fraction form
    304.47/417.42 = 299/x
  3. Step 3: Cross multiply
    304.47x = 417.42 × 299
  4. Step 4: Simplify right side
    304.47x = 124,808.58
  5. Step 5: Solve for x
    x = 124,808.58/304.47
  6. Step 6: Final answer
    x = 409.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.