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Finding the Fourth Proportional to 682.74, 942.60 and 470.16

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Solution

The fourth proportional to 682.74, 942.60 and 470.16 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.74 : 942.60 = 470.16 : x
  2. Step 2: Convert to fraction form
    682.74/942.60 = 470.16/x
  3. Step 3: Cross multiply
    682.74x = 942.60 × 470.16
  4. Step 4: Simplify right side
    682.74x = 443,172.82
  5. Step 5: Solve for x
    x = 443,172.82/682.74
  6. Step 6: Final answer
    x = 649.11

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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.