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Finding the Fourth Proportional to 628.20, 942.72 and 466.35

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Solution

The fourth proportional to 628.20, 942.72 and 466.35 is: 699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.20 : 942.72 = 466.35 : x
  2. Step 2: Convert to fraction form
    628.20/942.72 = 466.35/x
  3. Step 3: Cross multiply
    628.20x = 942.72 × 466.35
  4. Step 4: Simplify right side
    628.20x = 439,637.47
  5. Step 5: Solve for x
    x = 439,637.47/628.20
  6. Step 6: Final answer
    x = 699.84

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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.