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Finding the Fourth Proportional to 612.24, 916.23 and 377.88

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Solution

The fourth proportional to 612.24, 916.23 and 377.88 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 916.23 = 377.88 : x
  2. Step 2: Convert to fraction form
    612.24/916.23 = 377.88/x
  3. Step 3: Cross multiply
    612.24x = 916.23 × 377.88
  4. Step 4: Simplify right side
    612.24x = 346,222.97
  5. Step 5: Solve for x
    x = 346,222.97/612.24
  6. Step 6: Final answer
    x = 565.51

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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.