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Finding the Fourth Proportional to 628.60, 942.83 and 384.70

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Solution

The fourth proportional to 628.60, 942.83 and 384.70 is: 577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 942.83 = 384.70 : x
  2. Step 2: Convert to fraction form
    628.60/942.83 = 384.70/x
  3. Step 3: Cross multiply
    628.60x = 942.83 × 384.70
  4. Step 4: Simplify right side
    628.60x = 362,700.06
  5. Step 5: Solve for x
    x = 362,700.06/628.60
  6. Step 6: Final answer
    x = 577.00

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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.