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Finding the Fourth Proportional to 704.34, 972 and 455.76

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Solution

The fourth proportional to 704.34, 972 and 455.76 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 972 = 455.76 : x
  2. Step 2: Convert to fraction form
    704.34/972 = 455.76/x
  3. Step 3: Cross multiply
    704.34x = 972 × 455.76
  4. Step 4: Simplify right side
    704.34x = 442,998.72
  5. Step 5: Solve for x
    x = 442,998.72/704.34
  6. Step 6: Final answer
    x = 628.96

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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.