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Finding the Fourth Proportional to 520.83, 719.06 and 324.61

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Solution

The fourth proportional to 520.83, 719.06 and 324.61 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.83 : 719.06 = 324.61 : x
  2. Step 2: Convert to fraction form
    520.83/719.06 = 324.61/x
  3. Step 3: Cross multiply
    520.83x = 719.06 × 324.61
  4. Step 4: Simplify right side
    520.83x = 233,415.78
  5. Step 5: Solve for x
    x = 233,415.78/520.83
  6. Step 6: Final answer
    x = 448.16

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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.