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Finding the Fourth Proportional to 670.29, 924.89 and 375.55

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Solution

The fourth proportional to 670.29, 924.89 and 375.55 is: 518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.29 : 924.89 = 375.55 : x
  2. Step 2: Convert to fraction form
    670.29/924.89 = 375.55/x
  3. Step 3: Cross multiply
    670.29x = 924.89 × 375.55
  4. Step 4: Simplify right side
    670.29x = 347,342.44
  5. Step 5: Solve for x
    x = 347,342.44/670.29
  6. Step 6: Final answer
    x = 518.20

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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.