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Finding the Fourth Proportional to 670.95, 925.43 and 409.05

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Solution

The fourth proportional to 670.95, 925.43 and 409.05 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.95 : 925.43 = 409.05 : x
  2. Step 2: Convert to fraction form
    670.95/925.43 = 409.05/x
  3. Step 3: Cross multiply
    670.95x = 925.43 × 409.05
  4. Step 4: Simplify right side
    670.95x = 378,545.10
  5. Step 5: Solve for x
    x = 378,545.10/670.95
  6. Step 6: Final answer
    x = 564.19

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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.