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Finding the Fourth Proportional to 509.94, 765.05 and 304.38

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Solution

The fourth proportional to 509.94, 765.05 and 304.38 is: 456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 765.05 = 304.38 : x
  2. Step 2: Convert to fraction form
    509.94/765.05 = 304.38/x
  3. Step 3: Cross multiply
    509.94x = 765.05 × 304.38
  4. Step 4: Simplify right side
    509.94x = 232,864.40
  5. Step 5: Solve for x
    x = 232,864.40/509.94
  6. Step 6: Final answer
    x = 456.65

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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.