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Finding the Fourth Proportional to 582.66, 874.12 and 290.33

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Solution

The fourth proportional to 582.66, 874.12 and 290.33 is: 435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 874.12 = 290.33 : x
  2. Step 2: Convert to fraction form
    582.66/874.12 = 290.33/x
  3. Step 3: Cross multiply
    582.66x = 874.12 × 290.33
  4. Step 4: Simplify right side
    582.66x = 253,778.16
  5. Step 5: Solve for x
    x = 253,778.16/582.66
  6. Step 6: Final answer
    x = 435.55

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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.