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Finding the Fourth Proportional to 476.51, 714.53 and 202.44

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Solution

The fourth proportional to 476.51, 714.53 and 202.44 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.51 : 714.53 = 202.44 : x
  2. Step 2: Convert to fraction form
    476.51/714.53 = 202.44/x
  3. Step 3: Cross multiply
    476.51x = 714.53 × 202.44
  4. Step 4: Simplify right side
    476.51x = 144,648.44
  5. Step 5: Solve for x
    x = 144,648.44/476.51
  6. Step 6: Final answer
    x = 303.56

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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.