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Finding the Fourth Proportional to 389.04, 582.80 and 280.48

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Solution

The fourth proportional to 389.04, 582.80 and 280.48 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.04 : 582.80 = 280.48 : x
  2. Step 2: Convert to fraction form
    389.04/582.80 = 280.48/x
  3. Step 3: Cross multiply
    389.04x = 582.80 × 280.48
  4. Step 4: Simplify right side
    389.04x = 163,463.74
  5. Step 5: Solve for x
    x = 163,463.74/389.04
  6. Step 6: Final answer
    x = 420.17

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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.