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Finding the Fourth Proportional to 670.70, 925.54 and 405.21

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Solution

The fourth proportional to 670.70, 925.54 and 405.21 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.70 : 925.54 = 405.21 : x
  2. Step 2: Convert to fraction form
    670.70/925.54 = 405.21/x
  3. Step 3: Cross multiply
    670.70x = 925.54 × 405.21
  4. Step 4: Simplify right side
    670.70x = 375,033.58
  5. Step 5: Solve for x
    x = 375,033.58/670.70
  6. Step 6: Final answer
    x = 559.17

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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.