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Finding the Fourth Proportional to 412.74, 618.93 and 152.66

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Solution

The fourth proportional to 412.74, 618.93 and 152.66 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.74 : 618.93 = 152.66 : x
  2. Step 2: Convert to fraction form
    412.74/618.93 = 152.66/x
  3. Step 3: Cross multiply
    412.74x = 618.93 × 152.66
  4. Step 4: Simplify right side
    412.74x = 94,485.85
  5. Step 5: Solve for x
    x = 94,485.85/412.74
  6. Step 6: Final answer
    x = 228.92

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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.