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Finding the Fourth Proportional to 670.26, 924.96 and 390.66

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Solution

The fourth proportional to 670.26, 924.96 and 390.66 is: 539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.26 : 924.96 = 390.66 : x
  2. Step 2: Convert to fraction form
    670.26/924.96 = 390.66/x
  3. Step 3: Cross multiply
    670.26x = 924.96 × 390.66
  4. Step 4: Simplify right side
    670.26x = 361,344.87
  5. Step 5: Solve for x
    x = 361,344.87/670.26
  6. Step 6: Final answer
    x = 539.11

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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.