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Finding the Fourth Proportional to 628.59, 942.60 and 463.06

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Solution

The fourth proportional to 628.59, 942.60 and 463.06 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.59 : 942.60 = 463.06 : x
  2. Step 2: Convert to fraction form
    628.59/942.60 = 463.06/x
  3. Step 3: Cross multiply
    628.59x = 942.60 × 463.06
  4. Step 4: Simplify right side
    628.59x = 436,480.36
  5. Step 5: Solve for x
    x = 436,480.36/628.59
  6. Step 6: Final answer
    x = 694.38

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Why These Related Problems?

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