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Finding the Fourth Proportional to 512.83, 770.05 and 405.10

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Solution

The fourth proportional to 512.83, 770.05 and 405.10 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.83 : 770.05 = 405.10 : x
  2. Step 2: Convert to fraction form
    512.83/770.05 = 405.10/x
  3. Step 3: Cross multiply
    512.83x = 770.05 × 405.10
  4. Step 4: Simplify right side
    512.83x = 311,943.40
  5. Step 5: Solve for x
    x = 311,943.40/512.83
  6. Step 6: Final answer
    x = 608.28

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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.