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Finding the Fourth Proportional to 704.94, 973.08 and 456.54

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Solution

The fourth proportional to 704.94, 973.08 and 456.54 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.94 : 973.08 = 456.54 : x
  2. Step 2: Convert to fraction form
    704.94/973.08 = 456.54/x
  3. Step 3: Cross multiply
    704.94x = 973.08 × 456.54
  4. Step 4: Simplify right side
    704.94x = 444,246.29
  5. Step 5: Solve for x
    x = 444,246.29/704.94
  6. Step 6: Final answer
    x = 630.19

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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.