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Finding the Fourth Proportional to 478.49, 717.33 and 258.98

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Solution

The fourth proportional to 478.49, 717.33 and 258.98 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.49 : 717.33 = 258.98 : x
  2. Step 2: Convert to fraction form
    478.49/717.33 = 258.98/x
  3. Step 3: Cross multiply
    478.49x = 717.33 × 258.98
  4. Step 4: Simplify right side
    478.49x = 185,776.89
  5. Step 5: Solve for x
    x = 185,776.89/478.49
  6. Step 6: Final answer
    x = 388.25

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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.