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Finding the Fourth Proportional to 646.55, 969.93 and 256.55

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Solution

The fourth proportional to 646.55, 969.93 and 256.55 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.55 : 969.93 = 256.55 : x
  2. Step 2: Convert to fraction form
    646.55/969.93 = 256.55/x
  3. Step 3: Cross multiply
    646.55x = 969.93 × 256.55
  4. Step 4: Simplify right side
    646.55x = 248,841.32
  5. Step 5: Solve for x
    x = 248,841.32/646.55
  6. Step 6: Final answer
    x = 384.87

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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.