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Finding the Fourth Proportional to 647.36, 970.84 and 257.25

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Solution

The fourth proportional to 647.36, 970.84 and 257.25 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.36 : 970.84 = 257.25 : x
  2. Step 2: Convert to fraction form
    647.36/970.84 = 257.25/x
  3. Step 3: Cross multiply
    647.36x = 970.84 × 257.25
  4. Step 4: Simplify right side
    647.36x = 249,748.37
  5. Step 5: Solve for x
    x = 249,748.37/647.36
  6. Step 6: Final answer
    x = 385.80

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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.