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Finding the Fourth Proportional to 646.12, 969.45 and 256.24

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Solution

The fourth proportional to 646.12, 969.45 and 256.24 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 969.45 = 256.24 : x
  2. Step 2: Convert to fraction form
    646.12/969.45 = 256.24/x
  3. Step 3: Cross multiply
    646.12x = 969.45 × 256.24
  4. Step 4: Simplify right side
    646.12x = 248,411.87
  5. Step 5: Solve for x
    x = 248,411.87/646.12
  6. Step 6: Final answer
    x = 384.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.