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Finding the Fourth Proportional to 646.82, 892.33 and 384.70

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Solution

The fourth proportional to 646.82, 892.33 and 384.70 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 892.33 = 384.70 : x
  2. Step 2: Convert to fraction form
    646.82/892.33 = 384.70/x
  3. Step 3: Cross multiply
    646.82x = 892.33 × 384.70
  4. Step 4: Simplify right side
    646.82x = 343,279.35
  5. Step 5: Solve for x
    x = 343,279.35/646.82
  6. Step 6: Final answer
    x = 530.72

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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.