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Finding the Fourth Proportional to 612.70, 919.45 and 352.70

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Solution

The fourth proportional to 612.70, 919.45 and 352.70 is: 529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.70 : 919.45 = 352.70 : x
  2. Step 2: Convert to fraction form
    612.70/919.45 = 352.70/x
  3. Step 3: Cross multiply
    612.70x = 919.45 × 352.70
  4. Step 4: Simplify right side
    612.70x = 324,290.02
  5. Step 5: Solve for x
    x = 324,290.02/612.70
  6. Step 6: Final answer
    x = 529.28

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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.