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Finding the Fourth Proportional to 670.29, 924.53 and 446.33

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Solution

The fourth proportional to 670.29, 924.53 and 446.33 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.29 : 924.53 = 446.33 : x
  2. Step 2: Convert to fraction form
    670.29/924.53 = 446.33/x
  3. Step 3: Cross multiply
    670.29x = 924.53 × 446.33
  4. Step 4: Simplify right side
    670.29x = 412,638.62
  5. Step 5: Solve for x
    x = 412,638.62/670.29
  6. Step 6: Final answer
    x = 615.61

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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.