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Finding the Fourth Proportional to 509.18, 765.03 and 423.14

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Solution

The fourth proportional to 509.18, 765.03 and 423.14 is: 635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.18 : 765.03 = 423.14 : x
  2. Step 2: Convert to fraction form
    509.18/765.03 = 423.14/x
  3. Step 3: Cross multiply
    509.18x = 765.03 × 423.14
  4. Step 4: Simplify right side
    509.18x = 323,714.79
  5. Step 5: Solve for x
    x = 323,714.79/509.18
  6. Step 6: Final answer
    x = 635.76

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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.