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Finding the Fourth Proportional to 364.70, 509.50 and 364.70

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Solution

The fourth proportional to 364.70, 509.50 and 364.70 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 509.50 = 364.70 : x
  2. Step 2: Convert to fraction form
    364.70/509.50 = 364.70/x
  3. Step 3: Cross multiply
    364.70x = 509.50 × 364.70
  4. Step 4: Simplify right side
    364.70x = 185,814.65
  5. Step 5: Solve for x
    x = 185,814.65/364.70
  6. Step 6: Final answer
    x = 509.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.