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Finding the Fourth Proportional to 588.41, 882.93 and 280.21

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Solution

The fourth proportional to 588.41, 882.93 and 280.21 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.41 : 882.93 = 280.21 : x
  2. Step 2: Convert to fraction form
    588.41/882.93 = 280.21/x
  3. Step 3: Cross multiply
    588.41x = 882.93 × 280.21
  4. Step 4: Simplify right side
    588.41x = 247,403.95
  5. Step 5: Solve for x
    x = 247,403.95/588.41
  6. Step 6: Final answer
    x = 420.46

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1.5x scale

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.