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Finding the Fourth Proportional to 704.40, 972.14 and 405.69

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Solution

The fourth proportional to 704.40, 972.14 and 405.69 is: 559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 972.14 = 405.69 : x
  2. Step 2: Convert to fraction form
    704.40/972.14 = 405.69/x
  3. Step 3: Cross multiply
    704.40x = 972.14 × 405.69
  4. Step 4: Simplify right side
    704.40x = 394,385.45
  5. Step 5: Solve for x
    x = 394,385.45/704.40
  6. Step 6: Final answer
    x = 559.89

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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.