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Finding the Fourth Proportional to 612.24, 844.87 and 346.69

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Solution

The fourth proportional to 612.24, 844.87 and 346.69 is: 478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 844.87 = 346.69 : x
  2. Step 2: Convert to fraction form
    612.24/844.87 = 346.69/x
  3. Step 3: Cross multiply
    612.24x = 844.87 × 346.69
  4. Step 4: Simplify right side
    612.24x = 292,907.98
  5. Step 5: Solve for x
    x = 292,907.98/612.24
  6. Step 6: Final answer
    x = 478.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.