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Finding the Fourth Proportional to 505.68, 758.79 and 289.32

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Solution

The fourth proportional to 505.68, 758.79 and 289.32 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 758.79 = 289.32 : x
  2. Step 2: Convert to fraction form
    505.68/758.79 = 289.32/x
  3. Step 3: Cross multiply
    505.68x = 758.79 × 289.32
  4. Step 4: Simplify right side
    505.68x = 219,533.12
  5. Step 5: Solve for x
    x = 219,533.12/505.68
  6. Step 6: Final answer
    x = 434.13

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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.