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Finding the Fourth Proportional to 522.86, 782.66 and 376.04

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Solution

The fourth proportional to 522.86, 782.66 and 376.04 is: 562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 782.66 = 376.04 : x
  2. Step 2: Convert to fraction form
    522.86/782.66 = 376.04/x
  3. Step 3: Cross multiply
    522.86x = 782.66 × 376.04
  4. Step 4: Simplify right side
    522.86x = 294,314.36
  5. Step 5: Solve for x
    x = 294,314.36/522.86
  6. Step 6: Final answer
    x = 562.90

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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.