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Finding the Fourth Proportional to 554.49, 764.96 and 358.02

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Solution

The fourth proportional to 554.49, 764.96 and 358.02 is: 493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.49 : 764.96 = 358.02 : x
  2. Step 2: Convert to fraction form
    554.49/764.96 = 358.02/x
  3. Step 3: Cross multiply
    554.49x = 764.96 × 358.02
  4. Step 4: Simplify right side
    554.49x = 273,869.19
  5. Step 5: Solve for x
    x = 273,869.19/554.49
  6. Step 6: Final answer
    x = 493.91

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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.