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Finding the Fourth Proportional to 646.94, 970.52 and 256.75

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Solution

The fourth proportional to 646.94, 970.52 and 256.75 is: 385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.94 : 970.52 = 256.75 : x
  2. Step 2: Convert to fraction form
    646.94/970.52 = 256.75/x
  3. Step 3: Cross multiply
    646.94x = 970.52 × 256.75
  4. Step 4: Simplify right side
    646.94x = 249,177.30
  5. Step 5: Solve for x
    x = 249,177.30/646.94
  6. Step 6: Final answer
    x = 385.16

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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.