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Finding the Fourth Proportional to 704.50, 971.96 and 468.56

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Solution

The fourth proportional to 704.50, 971.96 and 468.56 is: 646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 971.96 = 468.56 : x
  2. Step 2: Convert to fraction form
    704.50/971.96 = 468.56/x
  3. Step 3: Cross multiply
    704.50x = 971.96 × 468.56
  4. Step 4: Simplify right side
    704.50x = 455,421.66
  5. Step 5: Solve for x
    x = 455,421.66/704.50
  6. Step 6: Final answer
    x = 646.45

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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.