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Finding the Fourth Proportional to 375.77, 518.57 and 210.00

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Solution

The fourth proportional to 375.77, 518.57 and 210.00 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.77 : 518.57 = 210.00 : x
  2. Step 2: Convert to fraction form
    375.77/518.57 = 210.00/x
  3. Step 3: Cross multiply
    375.77x = 518.57 × 210.00
  4. Step 4: Simplify right side
    375.77x = 108,897.88
  5. Step 5: Solve for x
    x = 108,897.88/375.77
  6. Step 6: Final answer
    x = 289.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.