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Finding the Fourth Proportional to 470.90, 705.75 and 333.98

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Solution

The fourth proportional to 470.90, 705.75 and 333.98 is: 500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 705.75 = 333.98 : x
  2. Step 2: Convert to fraction form
    470.90/705.75 = 333.98/x
  3. Step 3: Cross multiply
    470.90x = 705.75 × 333.98
  4. Step 4: Simplify right side
    470.90x = 235,702.86
  5. Step 5: Solve for x
    x = 235,702.86/470.90
  6. Step 6: Final answer
    x = 500.54

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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.