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Finding the Fourth Proportional to 628.76, 867.76 and 380.10

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Solution

The fourth proportional to 628.76, 867.76 and 380.10 is: 524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.76 : 867.76 = 380.10 : x
  2. Step 2: Convert to fraction form
    628.76/867.76 = 380.10/x
  3. Step 3: Cross multiply
    628.76x = 867.76 × 380.10
  4. Step 4: Simplify right side
    628.76x = 329,835.58
  5. Step 5: Solve for x
    x = 329,835.58/628.76
  6. Step 6: Final answer
    x = 524.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.