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Finding the Fourth Proportional to 409.03, 564.59 and 304.08

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Solution

The fourth proportional to 409.03, 564.59 and 304.08 is: 419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.03 : 564.59 = 304.08 : x
  2. Step 2: Convert to fraction form
    409.03/564.59 = 304.08/x
  3. Step 3: Cross multiply
    409.03x = 564.59 × 304.08
  4. Step 4: Simplify right side
    409.03x = 171,679.01
  5. Step 5: Solve for x
    x = 171,679.01/409.03
  6. Step 6: Final answer
    x = 419.72

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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.