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Finding the Fourth Proportional to 670.42, 925.04 and 449.08

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Solution

The fourth proportional to 670.42, 925.04 and 449.08 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.42 : 925.04 = 449.08 : x
  2. Step 2: Convert to fraction form
    670.42/925.04 = 449.08/x
  3. Step 3: Cross multiply
    670.42x = 925.04 × 449.08
  4. Step 4: Simplify right side
    670.42x = 415,416.96
  5. Step 5: Solve for x
    x = 415,416.96/670.42
  6. Step 6: Final answer
    x = 619.64

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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.