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Finding the Fourth Proportional to 704.42, 972.24 and 468.38

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Solution

The fourth proportional to 704.42, 972.24 and 468.38 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.42 : 972.24 = 468.38 : x
  2. Step 2: Convert to fraction form
    704.42/972.24 = 468.38/x
  3. Step 3: Cross multiply
    704.42x = 972.24 × 468.38
  4. Step 4: Simplify right side
    704.42x = 455,380.20
  5. Step 5: Solve for x
    x = 455,380.20/704.42
  6. Step 6: Final answer
    x = 646.47

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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.