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Finding the Fourth Proportional to 651.12, 977.22 and 326.58

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Solution

The fourth proportional to 651.12, 977.22 and 326.58 is: 490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.12 : 977.22 = 326.58 : x
  2. Step 2: Convert to fraction form
    651.12/977.22 = 326.58/x
  3. Step 3: Cross multiply
    651.12x = 977.22 × 326.58
  4. Step 4: Simplify right side
    651.12x = 319,140.51
  5. Step 5: Solve for x
    x = 319,140.51/651.12
  6. Step 6: Final answer
    x = 490.14

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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.