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Finding the Fourth Proportional to 628.58, 866.67 and 541.10

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Solution

The fourth proportional to 628.58, 866.67 and 541.10 is: 746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.58 : 866.67 = 541.10 : x
  2. Step 2: Convert to fraction form
    628.58/866.67 = 541.10/x
  3. Step 3: Cross multiply
    628.58x = 866.67 × 541.10
  4. Step 4: Simplify right side
    628.58x = 468,950.80
  5. Step 5: Solve for x
    x = 468,950.80/628.58
  6. Step 6: Final answer
    x = 746.05

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Why These Related Problems?

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