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Finding the Fourth Proportional to 646.76, 892.55 and 352.06

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Solution

The fourth proportional to 646.76, 892.55 and 352.06 is: 485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 892.55 = 352.06 : x
  2. Step 2: Convert to fraction form
    646.76/892.55 = 352.06/x
  3. Step 3: Cross multiply
    646.76x = 892.55 × 352.06
  4. Step 4: Simplify right side
    646.76x = 314,229.80
  5. Step 5: Solve for x
    x = 314,229.80/646.76
  6. Step 6: Final answer
    x = 485.85

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Find fourth proportional to 323.38, 446.28 and 176.03
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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.