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Finding the Fourth Proportional to 491.86, 738.81 and 475.46

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Solution

The fourth proportional to 491.86, 738.81 and 475.46 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 738.81 = 475.46 : x
  2. Step 2: Convert to fraction form
    491.86/738.81 = 475.46/x
  3. Step 3: Cross multiply
    491.86x = 738.81 × 475.46
  4. Step 4: Simplify right side
    491.86x = 351,274.60
  5. Step 5: Solve for x
    x = 351,274.60/491.86
  6. Step 6: Final answer
    x = 714.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.