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Finding the Fourth Proportional to 705.27, 972.98 and 472.47

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Solution

The fourth proportional to 705.27, 972.98 and 472.47 is: 651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 972.98 = 472.47 : x
  2. Step 2: Convert to fraction form
    705.27/972.98 = 472.47/x
  3. Step 3: Cross multiply
    705.27x = 972.98 × 472.47
  4. Step 4: Simplify right side
    705.27x = 459,701.50
  5. Step 5: Solve for x
    x = 459,701.50/705.27
  6. Step 6: Final answer
    x = 651.81

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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.