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Finding the Fourth Proportional to 682.58, 942.09 and 434.18

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Solution

The fourth proportional to 682.58, 942.09 and 434.18 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 942.09 = 434.18 : x
  2. Step 2: Convert to fraction form
    682.58/942.09 = 434.18/x
  3. Step 3: Cross multiply
    682.58x = 942.09 × 434.18
  4. Step 4: Simplify right side
    682.58x = 409,036.64
  5. Step 5: Solve for x
    x = 409,036.64/682.58
  6. Step 6: Final answer
    x = 599.25

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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.