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Finding the Fourth Proportional to 645.76, 891.07 and 366.03

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Solution

The fourth proportional to 645.76, 891.07 and 366.03 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.76 : 891.07 = 366.03 : x
  2. Step 2: Convert to fraction form
    645.76/891.07 = 366.03/x
  3. Step 3: Cross multiply
    645.76x = 891.07 × 366.03
  4. Step 4: Simplify right side
    645.76x = 326,158.35
  5. Step 5: Solve for x
    x = 326,158.35/645.76
  6. Step 6: Final answer
    x = 505.08

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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.