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Finding the Fourth Proportional to 509.16, 765.44 and 402.24

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Solution

The fourth proportional to 509.16, 765.44 and 402.24 is: 604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 765.44 = 402.24 : x
  2. Step 2: Convert to fraction form
    509.16/765.44 = 402.24/x
  3. Step 3: Cross multiply
    509.16x = 765.44 × 402.24
  4. Step 4: Simplify right side
    509.16x = 307,890.59
  5. Step 5: Solve for x
    x = 307,890.59/509.16
  6. Step 6: Final answer
    x = 604.70

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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.