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Finding the Fourth Proportional to 704.15, 971.87 and 468.11

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Solution

The fourth proportional to 704.15, 971.87 and 468.11 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.15 : 971.87 = 468.11 : x
  2. Step 2: Convert to fraction form
    704.15/971.87 = 468.11/x
  3. Step 3: Cross multiply
    704.15x = 971.87 × 468.11
  4. Step 4: Simplify right side
    704.15x = 454,934.87
  5. Step 5: Solve for x
    x = 454,934.87/704.15
  6. Step 6: Final answer
    x = 646.08

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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.