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Finding the Fourth Proportional to 704.91, 972.81 and 468.45

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Solution

The fourth proportional to 704.91, 972.81 and 468.45 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.91 : 972.81 = 468.45 : x
  2. Step 2: Convert to fraction form
    704.91/972.81 = 468.45/x
  3. Step 3: Cross multiply
    704.91x = 972.81 × 468.45
  4. Step 4: Simplify right side
    704.91x = 455,712.84
  5. Step 5: Solve for x
    x = 455,712.84/704.91
  6. Step 6: Final answer
    x = 646.48

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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.