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Finding the Fourth Proportional to 628.72, 866.96 and 429.44

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Solution

The fourth proportional to 628.72, 866.96 and 429.44 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.72 : 866.96 = 429.44 : x
  2. Step 2: Convert to fraction form
    628.72/866.96 = 429.44/x
  3. Step 3: Cross multiply
    628.72x = 866.96 × 429.44
  4. Step 4: Simplify right side
    628.72x = 372,307.30
  5. Step 5: Solve for x
    x = 372,307.30/628.72
  6. Step 6: Final answer
    x = 592.17

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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.