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Finding the Fourth Proportional to 522.02, 782.68 and 275.36

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Solution

The fourth proportional to 522.02, 782.68 and 275.36 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 782.68 = 275.36 : x
  2. Step 2: Convert to fraction form
    522.02/782.68 = 275.36/x
  3. Step 3: Cross multiply
    522.02x = 782.68 × 275.36
  4. Step 4: Simplify right side
    522.02x = 215,518.76
  5. Step 5: Solve for x
    x = 215,518.76/522.02
  6. Step 6: Final answer
    x = 412.86

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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.