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Finding the Fourth Proportional to 495.60, 684.00 and 309.15

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Solution

The fourth proportional to 495.60, 684.00 and 309.15 is: 426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 684.00 = 309.15 : x
  2. Step 2: Convert to fraction form
    495.60/684.00 = 309.15/x
  3. Step 3: Cross multiply
    495.60x = 684.00 × 309.15
  4. Step 4: Simplify right side
    495.60x = 211,453.63
  5. Step 5: Solve for x
    x = 211,453.63/495.60
  6. Step 6: Final answer
    x = 426.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.