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Finding the Fourth Proportional to 509.94, 765.27 and 394.65

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Solution

The fourth proportional to 509.94, 765.27 and 394.65 is: 592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 765.27 = 394.65 : x
  2. Step 2: Convert to fraction form
    509.94/765.27 = 394.65/x
  3. Step 3: Cross multiply
    509.94x = 765.27 × 394.65
  4. Step 4: Simplify right side
    509.94x = 302,013.81
  5. Step 5: Solve for x
    x = 302,013.81/509.94
  6. Step 6: Final answer
    x = 592.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.