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Finding the Fourth Proportional to 628.46, 942.99 and 384.85

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Solution

The fourth proportional to 628.46, 942.99 and 384.85 is: 577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.46 : 942.99 = 384.85 : x
  2. Step 2: Convert to fraction form
    628.46/942.99 = 384.85/x
  3. Step 3: Cross multiply
    628.46x = 942.99 × 384.85
  4. Step 4: Simplify right side
    628.46x = 362,909.70
  5. Step 5: Solve for x
    x = 362,909.70/628.46
  6. Step 6: Final answer
    x = 577.46

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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.