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Finding the Fourth Proportional to 420.52, 580.20 and 263.08

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Solution

The fourth proportional to 420.52, 580.20 and 263.08 is: 362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.52 : 580.20 = 263.08 : x
  2. Step 2: Convert to fraction form
    420.52/580.20 = 263.08/x
  3. Step 3: Cross multiply
    420.52x = 580.20 × 263.08
  4. Step 4: Simplify right side
    420.52x = 152,639.02
  5. Step 5: Solve for x
    x = 152,639.02/420.52
  6. Step 6: Final answer
    x = 362.98

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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.