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Finding the Fourth Proportional to 612.61, 918.83 and 201.77

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Solution

The fourth proportional to 612.61, 918.83 and 201.77 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.61 : 918.83 = 201.77 : x
  2. Step 2: Convert to fraction form
    612.61/918.83 = 201.77/x
  3. Step 3: Cross multiply
    612.61x = 918.83 × 201.77
  4. Step 4: Simplify right side
    612.61x = 185,392.33
  5. Step 5: Solve for x
    x = 185,392.33/612.61
  6. Step 6: Final answer
    x = 302.63

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1.5x scale

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.