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Finding the Fourth Proportional to 476.32, 714.24 and 202.56

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Solution

The fourth proportional to 476.32, 714.24 and 202.56 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.32 : 714.24 = 202.56 : x
  2. Step 2: Convert to fraction form
    476.32/714.24 = 202.56/x
  3. Step 3: Cross multiply
    476.32x = 714.24 × 202.56
  4. Step 4: Simplify right side
    476.32x = 144,676.45
  5. Step 5: Solve for x
    x = 144,676.45/476.32
  6. Step 6: Final answer
    x = 303.74

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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.