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Finding the Fourth Proportional to 646.88, 970.26 and 256.86

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Solution

The fourth proportional to 646.88, 970.26 and 256.86 is: 385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 970.26 = 256.86 : x
  2. Step 2: Convert to fraction form
    646.88/970.26 = 256.86/x
  3. Step 3: Cross multiply
    646.88x = 970.26 × 256.86
  4. Step 4: Simplify right side
    646.88x = 249,220.98
  5. Step 5: Solve for x
    x = 249,220.98/646.88
  6. Step 6: Final answer
    x = 385.27

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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.