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Finding the Fourth Proportional to 522.32, 720.94 and 356.50

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Solution

The fourth proportional to 522.32, 720.94 and 356.50 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 720.94 = 356.50 : x
  2. Step 2: Convert to fraction form
    522.32/720.94 = 356.50/x
  3. Step 3: Cross multiply
    522.32x = 720.94 × 356.50
  4. Step 4: Simplify right side
    522.32x = 257,014.13
  5. Step 5: Solve for x
    x = 257,014.13/522.32
  6. Step 6: Final answer
    x = 492.07

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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.