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Finding the Fourth Proportional to 554.24, 764.64 and 416.48

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Solution

The fourth proportional to 554.24, 764.64 and 416.48 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 764.64 = 416.48 : x
  2. Step 2: Convert to fraction form
    554.24/764.64 = 416.48/x
  3. Step 3: Cross multiply
    554.24x = 764.64 × 416.48
  4. Step 4: Simplify right side
    554.24x = 318,457.27
  5. Step 5: Solve for x
    x = 318,457.27/554.24
  6. Step 6: Final answer
    x = 574.58

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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.