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Finding the Fourth Proportional to 628.34, 942.60 and 463.46

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Solution

The fourth proportional to 628.34, 942.60 and 463.46 is: 695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 942.60 = 463.46 : x
  2. Step 2: Convert to fraction form
    628.34/942.60 = 463.46/x
  3. Step 3: Cross multiply
    628.34x = 942.60 × 463.46
  4. Step 4: Simplify right side
    628.34x = 436,857.40
  5. Step 5: Solve for x
    x = 436,857.40/628.34
  6. Step 6: Final answer
    x = 695.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.