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Finding the Fourth Proportional to 646.88, 892.40 and 384.88

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Solution

The fourth proportional to 646.88, 892.40 and 384.88 is: 530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 892.40 = 384.88 : x
  2. Step 2: Convert to fraction form
    646.88/892.40 = 384.88/x
  3. Step 3: Cross multiply
    646.88x = 892.40 × 384.88
  4. Step 4: Simplify right side
    646.88x = 343,466.91
  5. Step 5: Solve for x
    x = 343,466.91/646.88
  6. Step 6: Final answer
    x = 530.96

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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.