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Finding the Fourth Proportional to 704.58, 972.23 and 409.89

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Solution

The fourth proportional to 704.58, 972.23 and 409.89 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.58 : 972.23 = 409.89 : x
  2. Step 2: Convert to fraction form
    704.58/972.23 = 409.89/x
  3. Step 3: Cross multiply
    704.58x = 972.23 × 409.89
  4. Step 4: Simplify right side
    704.58x = 398,507.35
  5. Step 5: Solve for x
    x = 398,507.35/704.58
  6. Step 6: Final answer
    x = 565.60

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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.