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Finding the Fourth Proportional to 522.03, 782.36 and 290.80

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Solution

The fourth proportional to 522.03, 782.36 and 290.80 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.03 : 782.36 = 290.80 : x
  2. Step 2: Convert to fraction form
    522.03/782.36 = 290.80/x
  3. Step 3: Cross multiply
    522.03x = 782.36 × 290.80
  4. Step 4: Simplify right side
    522.03x = 227,510.29
  5. Step 5: Solve for x
    x = 227,510.29/522.03
  6. Step 6: Final answer
    x = 435.82

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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.