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Finding the Fourth Proportional to 612.70, 919.21 and 304.70

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Solution

The fourth proportional to 612.70, 919.21 and 304.70 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.70 : 919.21 = 304.70 : x
  2. Step 2: Convert to fraction form
    612.70/919.21 = 304.70/x
  3. Step 3: Cross multiply
    612.70x = 919.21 × 304.70
  4. Step 4: Simplify right side
    612.70x = 280,083.29
  5. Step 5: Solve for x
    x = 280,083.29/612.70
  6. Step 6: Final answer
    x = 457.13

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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.