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Finding the Fourth Proportional to 646.89, 892.57 and 384.75

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Solution

The fourth proportional to 646.89, 892.57 and 384.75 is: 530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 892.57 = 384.75 : x
  2. Step 2: Convert to fraction form
    646.89/892.57 = 384.75/x
  3. Step 3: Cross multiply
    646.89x = 892.57 × 384.75
  4. Step 4: Simplify right side
    646.89x = 343,416.07
  5. Step 5: Solve for x
    x = 343,416.07/646.89
  6. Step 6: Final answer
    x = 530.88

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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.