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Finding the Fourth Proportional to 509.95, 765.53 and 304.62

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Solution

The fourth proportional to 509.95, 765.53 and 304.62 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.95 : 765.53 = 304.62 : x
  2. Step 2: Convert to fraction form
    509.95/765.53 = 304.62/x
  3. Step 3: Cross multiply
    509.95x = 765.53 × 304.62
  4. Step 4: Simplify right side
    509.95x = 233,191.92
  5. Step 5: Solve for x
    x = 233,191.92/509.95
  6. Step 6: Final answer
    x = 457.28

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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.