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Finding the Fourth Proportional to 682.64, 942.30 and 434.36

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Solution

The fourth proportional to 682.64, 942.30 and 434.36 is: 599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.64 : 942.30 = 434.36 : x
  2. Step 2: Convert to fraction form
    682.64/942.30 = 434.36/x
  3. Step 3: Cross multiply
    682.64x = 942.30 × 434.36
  4. Step 4: Simplify right side
    682.64x = 409,297.43
  5. Step 5: Solve for x
    x = 409,297.43/682.64
  6. Step 6: Final answer
    x = 599.58

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1.5x scale

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.