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Finding the Fourth Proportional to 670.41, 924.84 and 434.57

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Solution

The fourth proportional to 670.41, 924.84 and 434.57 is: 599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.41 : 924.84 = 434.57 : x
  2. Step 2: Convert to fraction form
    670.41/924.84 = 434.57/x
  3. Step 3: Cross multiply
    670.41x = 924.84 × 434.57
  4. Step 4: Simplify right side
    670.41x = 401,903.09
  5. Step 5: Solve for x
    x = 401,903.09/670.41
  6. Step 6: Final answer
    x = 599.49

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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.