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Finding the Fourth Proportional to 647.42, 970.89 and 257.51

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Solution

The fourth proportional to 647.42, 970.89 and 257.51 is: 386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.42 : 970.89 = 257.51 : x
  2. Step 2: Convert to fraction form
    647.42/970.89 = 257.51/x
  3. Step 3: Cross multiply
    647.42x = 970.89 × 257.51
  4. Step 4: Simplify right side
    647.42x = 250,009.03
  5. Step 5: Solve for x
    x = 250,009.03/647.42
  6. Step 6: Final answer
    x = 386.17

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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.