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Finding the Fourth Proportional to 688.87, 950.54 and 390.14

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Solution

The fourth proportional to 688.87, 950.54 and 390.14 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.87 : 950.54 = 390.14 : x
  2. Step 2: Convert to fraction form
    688.87/950.54 = 390.14/x
  3. Step 3: Cross multiply
    688.87x = 950.54 × 390.14
  4. Step 4: Simplify right side
    688.87x = 370,840.54
  5. Step 5: Solve for x
    x = 370,840.54/688.87
  6. Step 6: Final answer
    x = 538.33

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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.