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Finding the Fourth Proportional to 578.04, 867.69 and 304.06

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Solution

The fourth proportional to 578.04, 867.69 and 304.06 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 867.69 = 304.06 : x
  2. Step 2: Convert to fraction form
    578.04/867.69 = 304.06/x
  3. Step 3: Cross multiply
    578.04x = 867.69 × 304.06
  4. Step 4: Simplify right side
    578.04x = 263,829.82
  5. Step 5: Solve for x
    x = 263,829.82/578.04
  6. Step 6: Final answer
    x = 456.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.