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Finding the Fourth Proportional to 675.07, 931.61 and 380.35

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Solution

The fourth proportional to 675.07, 931.61 and 380.35 is: 524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.07 : 931.61 = 380.35 : x
  2. Step 2: Convert to fraction form
    675.07/931.61 = 380.35/x
  3. Step 3: Cross multiply
    675.07x = 931.61 × 380.35
  4. Step 4: Simplify right side
    675.07x = 354,333.68
  5. Step 5: Solve for x
    x = 354,333.68/675.07
  6. Step 6: Final answer
    x = 524.89

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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.