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Finding the Fourth Proportional to 620.19, 854.29 and 472.57

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Solution

The fourth proportional to 620.19, 854.29 and 472.57 is: 650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.19 : 854.29 = 472.57 : x
  2. Step 2: Convert to fraction form
    620.19/854.29 = 472.57/x
  3. Step 3: Cross multiply
    620.19x = 854.29 × 472.57
  4. Step 4: Simplify right side
    620.19x = 403,710.28
  5. Step 5: Solve for x
    x = 403,710.28/620.19
  6. Step 6: Final answer
    x = 650.95

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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.