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Finding the Fourth Proportional to 518.51, 777.56 and 258.42

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Solution

The fourth proportional to 518.51, 777.56 and 258.42 is: 387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 777.56 = 258.42 : x
  2. Step 2: Convert to fraction form
    518.51/777.56 = 258.42/x
  3. Step 3: Cross multiply
    518.51x = 777.56 × 258.42
  4. Step 4: Simplify right side
    518.51x = 200,935.76
  5. Step 5: Solve for x
    x = 200,935.76/518.51
  6. Step 6: Final answer
    x = 387.53

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Double scale
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Similar ratio
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1.5x scale

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.