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Finding the Fourth Proportional to 704.73, 972.90 and 456.42

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Solution

The fourth proportional to 704.73, 972.90 and 456.42 is: 630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.73 : 972.90 = 456.42 : x
  2. Step 2: Convert to fraction form
    704.73/972.90 = 456.42/x
  3. Step 3: Cross multiply
    704.73x = 972.90 × 456.42
  4. Step 4: Simplify right side
    704.73x = 444,051.02
  5. Step 5: Solve for x
    x = 444,051.02/704.73
  6. Step 6: Final answer
    x = 630.10

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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.