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Finding the Fourth Proportional to 433.65, 647.78 and 390.24

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Solution

The fourth proportional to 433.65, 647.78 and 390.24 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.65 : 647.78 = 390.24 : x
  2. Step 2: Convert to fraction form
    433.65/647.78 = 390.24/x
  3. Step 3: Cross multiply
    433.65x = 647.78 × 390.24
  4. Step 4: Simplify right side
    433.65x = 252,790.64
  5. Step 5: Solve for x
    x = 252,790.64/433.65
  6. Step 6: Final answer
    x = 582.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.