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Finding the Fourth Proportional to 420.75, 580.64 and 265.77

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Solution

The fourth proportional to 420.75, 580.64 and 265.77 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 580.64 = 265.77 : x
  2. Step 2: Convert to fraction form
    420.75/580.64 = 265.77/x
  3. Step 3: Cross multiply
    420.75x = 580.64 × 265.77
  4. Step 4: Simplify right side
    420.75x = 154,315.36
  5. Step 5: Solve for x
    x = 154,315.36/420.75
  6. Step 6: Final answer
    x = 366.76

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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.