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Finding the Fourth Proportional to 336.24, 505.59 and 309.51

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Solution

The fourth proportional to 336.24, 505.59 and 309.51 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.24 : 505.59 = 309.51 : x
  2. Step 2: Convert to fraction form
    336.24/505.59 = 309.51/x
  3. Step 3: Cross multiply
    336.24x = 505.59 × 309.51
  4. Step 4: Simplify right side
    336.24x = 156,485.16
  5. Step 5: Solve for x
    x = 156,485.16/336.24
  6. Step 6: Final answer
    x = 465.40

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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.