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Finding the Fourth Proportional to 612.70, 919.49 and 417.96

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Solution

The fourth proportional to 612.70, 919.49 and 417.96 is: 627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.70 : 919.49 = 417.96 : x
  2. Step 2: Convert to fraction form
    612.70/919.49 = 417.96/x
  3. Step 3: Cross multiply
    612.70x = 919.49 × 417.96
  4. Step 4: Simplify right side
    612.70x = 384,307.95
  5. Step 5: Solve for x
    x = 384,307.95/612.70
  6. Step 6: Final answer
    x = 627.24

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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.