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Finding the Fourth Proportional to 554.51, 764.64 and 414.42

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Solution

The fourth proportional to 554.51, 764.64 and 414.42 is: 571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.51 : 764.64 = 414.42 : x
  2. Step 2: Convert to fraction form
    554.51/764.64 = 414.42/x
  3. Step 3: Cross multiply
    554.51x = 764.64 × 414.42
  4. Step 4: Simplify right side
    554.51x = 316,879.24
  5. Step 5: Solve for x
    x = 316,879.24/554.51
  6. Step 6: Final answer
    x = 571.46

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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.