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Finding the Fourth Proportional to 522.30, 782.92 and 291.45

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Solution

The fourth proportional to 522.30, 782.92 and 291.45 is: 436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 782.92 = 291.45 : x
  2. Step 2: Convert to fraction form
    522.30/782.92 = 291.45/x
  3. Step 3: Cross multiply
    522.30x = 782.92 × 291.45
  4. Step 4: Simplify right side
    522.30x = 228,182.03
  5. Step 5: Solve for x
    x = 228,182.03/522.30
  6. Step 6: Final answer
    x = 436.88

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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.