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Finding the Fourth Proportional to 582.70, 874.33 and 290.23

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Solution

The fourth proportional to 582.70, 874.33 and 290.23 is: 435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.70 : 874.33 = 290.23 : x
  2. Step 2: Convert to fraction form
    582.70/874.33 = 290.23/x
  3. Step 3: Cross multiply
    582.70x = 874.33 × 290.23
  4. Step 4: Simplify right side
    582.70x = 253,756.80
  5. Step 5: Solve for x
    x = 253,756.80/582.70
  6. Step 6: Final answer
    x = 435.48

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