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Finding the Fourth Proportional to 554.24, 764.86 and 318.23

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Solution

The fourth proportional to 554.24, 764.86 and 318.23 is: 439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 764.86 = 318.23 : x
  2. Step 2: Convert to fraction form
    554.24/764.86 = 318.23/x
  3. Step 3: Cross multiply
    554.24x = 764.86 × 318.23
  4. Step 4: Simplify right side
    554.24x = 243,400.28
  5. Step 5: Solve for x
    x = 243,400.28/554.24
  6. Step 6: Final answer
    x = 439.16

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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.