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Finding the Fourth Proportional to 554.17, 764.71 and 305.47

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Solution

The fourth proportional to 554.17, 764.71 and 305.47 is: 421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.17 : 764.71 = 305.47 : x
  2. Step 2: Convert to fraction form
    554.17/764.71 = 305.47/x
  3. Step 3: Cross multiply
    554.17x = 764.71 × 305.47
  4. Step 4: Simplify right side
    554.17x = 233,595.96
  5. Step 5: Solve for x
    x = 233,595.96/554.17
  6. Step 6: Final answer
    x = 421.52

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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.