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Finding the Fourth Proportional to 476.56, 714.16 and 366.46

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Solution

The fourth proportional to 476.56, 714.16 and 366.46 is: 549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.56 : 714.16 = 366.46 : x
  2. Step 2: Convert to fraction form
    476.56/714.16 = 366.46/x
  3. Step 3: Cross multiply
    476.56x = 714.16 × 366.46
  4. Step 4: Simplify right side
    476.56x = 261,709.75
  5. Step 5: Solve for x
    x = 261,709.75/476.56
  6. Step 6: Final answer
    x = 549.16

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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.