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Finding the Fourth Proportional to 420.33, 580.08 and 263.06

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Solution

The fourth proportional to 420.33, 580.08 and 263.06 is: 363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.33 : 580.08 = 263.06 : x
  2. Step 2: Convert to fraction form
    420.33/580.08 = 263.06/x
  3. Step 3: Cross multiply
    420.33x = 580.08 × 263.06
  4. Step 4: Simplify right side
    420.33x = 152,595.84
  5. Step 5: Solve for x
    x = 152,595.84/420.33
  6. Step 6: Final answer
    x = 363.04

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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.