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Finding the Fourth Proportional to 520.33, 718.57 and 333.89

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Solution

The fourth proportional to 520.33, 718.57 and 333.89 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.33 : 718.57 = 333.89 : x
  2. Step 2: Convert to fraction form
    520.33/718.57 = 333.89/x
  3. Step 3: Cross multiply
    520.33x = 718.57 × 333.89
  4. Step 4: Simplify right side
    520.33x = 239,923.34
  5. Step 5: Solve for x
    x = 239,923.34/520.33
  6. Step 6: Final answer
    x = 461.10

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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.