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Finding the Fourth Proportional to 522.36, 782.64 and 359.46

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Solution

The fourth proportional to 522.36, 782.64 and 359.46 is: 538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 782.64 = 359.46 : x
  2. Step 2: Convert to fraction form
    522.36/782.64 = 359.46/x
  3. Step 3: Cross multiply
    522.36x = 782.64 × 359.46
  4. Step 4: Simplify right side
    522.36x = 281,327.77
  5. Step 5: Solve for x
    x = 281,327.77/522.36
  6. Step 6: Final answer
    x = 538.57

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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.