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Finding the Fourth Proportional to 704.75, 972.58 and 468.29

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Solution

The fourth proportional to 704.75, 972.58 and 468.29 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 972.58 = 468.29 : x
  2. Step 2: Convert to fraction form
    704.75/972.58 = 468.29/x
  3. Step 3: Cross multiply
    704.75x = 972.58 × 468.29
  4. Step 4: Simplify right side
    704.75x = 455,442.28
  5. Step 5: Solve for x
    x = 455,442.28/704.75
  6. Step 6: Final answer
    x = 646.25

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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.