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Finding the Fourth Proportional to 522.06, 720.34 and 297.99

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Solution

The fourth proportional to 522.06, 720.34 and 297.99 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 720.34 = 297.99 : x
  2. Step 2: Convert to fraction form
    522.06/720.34 = 297.99/x
  3. Step 3: Cross multiply
    522.06x = 720.34 × 297.99
  4. Step 4: Simplify right side
    522.06x = 214,652.63
  5. Step 5: Solve for x
    x = 214,652.63/522.06
  6. Step 6: Final answer
    x = 411.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.