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Finding the Fourth Proportional to 554.39, 764.93 and 357.87

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Solution

The fourth proportional to 554.39, 764.93 and 357.87 is: 493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.39 : 764.93 = 357.87 : x
  2. Step 2: Convert to fraction form
    554.39/764.93 = 357.87/x
  3. Step 3: Cross multiply
    554.39x = 764.93 × 357.87
  4. Step 4: Simplify right side
    554.39x = 273,743.71
  5. Step 5: Solve for x
    x = 273,743.71/554.39
  6. Step 6: Final answer
    x = 493.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.