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Finding the Fourth Proportional to 522.34, 724.27 and 504.99

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Solution

The fourth proportional to 522.34, 724.27 and 504.99 is: 700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 724.27 = 504.99 : x
  2. Step 2: Convert to fraction form
    522.34/724.27 = 504.99/x
  3. Step 3: Cross multiply
    522.34x = 724.27 × 504.99
  4. Step 4: Simplify right side
    522.34x = 365,746.58
  5. Step 5: Solve for x
    x = 365,746.58/522.34
  6. Step 6: Final answer
    x = 700.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.