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Finding the Fourth Proportional to 495.67, 684.35 and 309.42

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Solution

The fourth proportional to 495.67, 684.35 and 309.42 is: 427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.67 : 684.35 = 309.42 : x
  2. Step 2: Convert to fraction form
    495.67/684.35 = 309.42/x
  3. Step 3: Cross multiply
    495.67x = 684.35 × 309.42
  4. Step 4: Simplify right side
    495.67x = 211,751.19
  5. Step 5: Solve for x
    x = 211,751.19/495.67
  6. Step 6: Final answer
    x = 427.20

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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.