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Finding the Fourth Proportional to 705.41, 972.93 and 468.94

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Solution

The fourth proportional to 705.41, 972.93 and 468.94 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.41 : 972.93 = 468.94 : x
  2. Step 2: Convert to fraction form
    705.41/972.93 = 468.94/x
  3. Step 3: Cross multiply
    705.41x = 972.93 × 468.94
  4. Step 4: Simplify right side
    705.41x = 456,245.79
  5. Step 5: Solve for x
    x = 456,245.79/705.41
  6. Step 6: Final answer
    x = 646.78

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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.