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Finding the Fourth Proportional to 670.90, 925.84 and 376.16

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Solution

The fourth proportional to 670.90, 925.84 and 376.16 is: 519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.90 : 925.84 = 376.16 : x
  2. Step 2: Convert to fraction form
    670.90/925.84 = 376.16/x
  3. Step 3: Cross multiply
    670.90x = 925.84 × 376.16
  4. Step 4: Simplify right side
    670.90x = 348,263.97
  5. Step 5: Solve for x
    x = 348,263.97/670.90
  6. Step 6: Final answer
    x = 519.10

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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.