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Finding the Fourth Proportional to 482.94, 665.74 and 342.60

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Solution

The fourth proportional to 482.94, 665.74 and 342.60 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.94 : 665.74 = 342.60 : x
  2. Step 2: Convert to fraction form
    482.94/665.74 = 342.60/x
  3. Step 3: Cross multiply
    482.94x = 665.74 × 342.60
  4. Step 4: Simplify right side
    482.94x = 228,082.52
  5. Step 5: Solve for x
    x = 228,082.52/482.94
  6. Step 6: Final answer
    x = 472.28

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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.