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Finding the Fourth Proportional to 549.21, 820.05 and 468.01

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Solution

The fourth proportional to 549.21, 820.05 and 468.01 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.21 : 820.05 = 468.01 : x
  2. Step 2: Convert to fraction form
    549.21/820.05 = 468.01/x
  3. Step 3: Cross multiply
    549.21x = 820.05 × 468.01
  4. Step 4: Simplify right side
    549.21x = 383,792.77
  5. Step 5: Solve for x
    x = 383,792.77/549.21
  6. Step 6: Final answer
    x = 698.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.