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Finding the Fourth Proportional to 652.06, 977.72 and 218.98

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Solution

The fourth proportional to 652.06, 977.72 and 218.98 is: 328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 977.72 = 218.98 : x
  2. Step 2: Convert to fraction form
    652.06/977.72 = 218.98/x
  3. Step 3: Cross multiply
    652.06x = 977.72 × 218.98
  4. Step 4: Simplify right side
    652.06x = 214,101.13
  5. Step 5: Solve for x
    x = 214,101.13/652.06
  6. Step 6: Final answer
    x = 328.35

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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.