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Finding the Fourth Proportional to 520.74, 719.01 and 365.22

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Solution

The fourth proportional to 520.74, 719.01 and 365.22 is: 504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 719.01 = 365.22 : x
  2. Step 2: Convert to fraction form
    520.74/719.01 = 365.22/x
  3. Step 3: Cross multiply
    520.74x = 719.01 × 365.22
  4. Step 4: Simplify right side
    520.74x = 262,596.83
  5. Step 5: Solve for x
    x = 262,596.83/520.74
  6. Step 6: Final answer
    x = 504.28

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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.