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Finding the Fourth Proportional to 510.64, 767.34 and 305.29

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Solution

The fourth proportional to 510.64, 767.34 and 305.29 is: 458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 767.34 = 305.29 : x
  2. Step 2: Convert to fraction form
    510.64/767.34 = 305.29/x
  3. Step 3: Cross multiply
    510.64x = 767.34 × 305.29
  4. Step 4: Simplify right side
    510.64x = 234,261.23
  5. Step 5: Solve for x
    x = 234,261.23/510.64
  6. Step 6: Final answer
    x = 458.76

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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.