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Finding the Fourth Proportional to 670.41, 924.32 and 433.97

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Solution

The fourth proportional to 670.41, 924.32 and 433.97 is: 598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.41 : 924.32 = 433.97 : x
  2. Step 2: Convert to fraction form
    670.41/924.32 = 433.97/x
  3. Step 3: Cross multiply
    670.41x = 924.32 × 433.97
  4. Step 4: Simplify right side
    670.41x = 401,120.36
  5. Step 5: Solve for x
    x = 401,120.36/670.41
  6. Step 6: Final answer
    x = 598.32

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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.