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Finding the Fourth Proportional to 473.85, 711.44 and 242.90

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Solution

The fourth proportional to 473.85, 711.44 and 242.90 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 711.44 = 242.90 : x
  2. Step 2: Convert to fraction form
    473.85/711.44 = 242.90/x
  3. Step 3: Cross multiply
    473.85x = 711.44 × 242.90
  4. Step 4: Simplify right side
    473.85x = 172,811.58
  5. Step 5: Solve for x
    x = 172,811.58/473.85
  6. Step 6: Final answer
    x = 364.70

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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.