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Finding the Fourth Proportional to 510.56, 765.34 and 202.24

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Solution

The fourth proportional to 510.56, 765.34 and 202.24 is: 303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 765.34 = 202.24 : x
  2. Step 2: Convert to fraction form
    510.56/765.34 = 202.24/x
  3. Step 3: Cross multiply
    510.56x = 765.34 × 202.24
  4. Step 4: Simplify right side
    510.56x = 154,782.36
  5. Step 5: Solve for x
    x = 154,782.36/510.56
  6. Step 6: Final answer
    x = 303.16

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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.