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Finding the Fourth Proportional to 651.70, 977.68 and 218.86

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Solution

The fourth proportional to 651.70, 977.68 and 218.86 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 977.68 = 218.86 : x
  2. Step 2: Convert to fraction form
    651.70/977.68 = 218.86/x
  3. Step 3: Cross multiply
    651.70x = 977.68 × 218.86
  4. Step 4: Simplify right side
    651.70x = 213,975.04
  5. Step 5: Solve for x
    x = 213,975.04/651.70
  6. Step 6: Final answer
    x = 328.33

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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.