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Finding the Fourth Proportional to 505.16, 756.36 and 383.96

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Solution

The fourth proportional to 505.16, 756.36 and 383.96 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.16 : 756.36 = 383.96 : x
  2. Step 2: Convert to fraction form
    505.16/756.36 = 383.96/x
  3. Step 3: Cross multiply
    505.16x = 756.36 × 383.96
  4. Step 4: Simplify right side
    505.16x = 290,411.99
  5. Step 5: Solve for x
    x = 290,411.99/505.16
  6. Step 6: Final answer
    x = 574.89

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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.