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Finding the Fourth Proportional to 700.02, 966.05 and 389.54

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Solution

The fourth proportional to 700.02, 966.05 and 389.54 is: 537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.02 : 966.05 = 389.54 : x
  2. Step 2: Convert to fraction form
    700.02/966.05 = 389.54/x
  3. Step 3: Cross multiply
    700.02x = 966.05 × 389.54
  4. Step 4: Simplify right side
    700.02x = 376,315.12
  5. Step 5: Solve for x
    x = 376,315.12/700.02
  6. Step 6: Final answer
    x = 537.58

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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.