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Finding the Fourth Proportional to 770.88, 1,156.32 and 258.24

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Solution

The fourth proportional to 770.88, 1,156.32 and 258.24 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.88 : 1,156.32 = 258.24 : x
  2. Step 2: Convert to fraction form
    770.88/1,156.32 = 258.24/x
  3. Step 3: Cross multiply
    770.88x = 1,156.32 × 258.24
  4. Step 4: Simplify right side
    770.88x = 298,608.08
  5. Step 5: Solve for x
    x = 298,608.08/770.88
  6. Step 6: Final answer
    x = 387.36

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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.