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Finding the Fourth Proportional to 476.79, 714.72 and 203.06

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Solution

The fourth proportional to 476.79, 714.72 and 203.06 is: 304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.79 : 714.72 = 203.06 : x
  2. Step 2: Convert to fraction form
    476.79/714.72 = 203.06/x
  3. Step 3: Cross multiply
    476.79x = 714.72 × 203.06
  4. Step 4: Simplify right side
    476.79x = 145,129.57
  5. Step 5: Solve for x
    x = 145,129.57/476.79
  6. Step 6: Final answer
    x = 304.39

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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.