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Finding the Fourth Proportional to 612.35, 918.98 and 381.57

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Solution

The fourth proportional to 612.35, 918.98 and 381.57 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.35 : 918.98 = 381.57 : x
  2. Step 2: Convert to fraction form
    612.35/918.98 = 381.57/x
  3. Step 3: Cross multiply
    612.35x = 918.98 × 381.57
  4. Step 4: Simplify right side
    612.35x = 350,655.20
  5. Step 5: Solve for x
    x = 350,655.20/612.35
  6. Step 6: Final answer
    x = 572.64

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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.