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Finding the Fourth Proportional to 671.34, 926.54 and 405.88

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Solution

The fourth proportional to 671.34, 926.54 and 405.88 is: 560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 926.54 = 405.88 : x
  2. Step 2: Convert to fraction form
    671.34/926.54 = 405.88/x
  3. Step 3: Cross multiply
    671.34x = 926.54 × 405.88
  4. Step 4: Simplify right side
    671.34x = 376,064.06
  5. Step 5: Solve for x
    x = 376,064.06/671.34
  6. Step 6: Final answer
    x = 560.17

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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.