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Finding the Fourth Proportional to 628.88, 867.42 and 407.43

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Solution

The fourth proportional to 628.88, 867.42 and 407.43 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 867.42 = 407.43 : x
  2. Step 2: Convert to fraction form
    628.88/867.42 = 407.43/x
  3. Step 3: Cross multiply
    628.88x = 867.42 × 407.43
  4. Step 4: Simplify right side
    628.88x = 353,412.93
  5. Step 5: Solve for x
    x = 353,412.93/628.88
  6. Step 6: Final answer
    x = 561.98

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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.