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Finding the Fourth Proportional to 420.76, 580.74 and 265.48

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Solution

The fourth proportional to 420.76, 580.74 and 265.48 is: 366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.76 : 580.74 = 265.48 : x
  2. Step 2: Convert to fraction form
    420.76/580.74 = 265.48/x
  3. Step 3: Cross multiply
    420.76x = 580.74 × 265.48
  4. Step 4: Simplify right side
    420.76x = 154,174.86
  5. Step 5: Solve for x
    x = 154,174.86/420.76
  6. Step 6: Final answer
    x = 366.42

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Find fourth proportional to 210.38, 290.37 and 132.74
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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.