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Finding the Fourth Proportional to 670.84, 925.63 and 405.23

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Solution

The fourth proportional to 670.84, 925.63 and 405.23 is: 559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 925.63 = 405.23 : x
  2. Step 2: Convert to fraction form
    670.84/925.63 = 405.23/x
  3. Step 3: Cross multiply
    670.84x = 925.63 × 405.23
  4. Step 4: Simplify right side
    670.84x = 375,087.40
  5. Step 5: Solve for x
    x = 375,087.40/670.84
  6. Step 6: Final answer
    x = 559.13

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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.