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Finding the Fourth Proportional to 669.92, 924.54 and 434.20

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Solution

The fourth proportional to 669.92, 924.54 and 434.20 is: 599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 924.54 = 434.20 : x
  2. Step 2: Convert to fraction form
    669.92/924.54 = 434.20/x
  3. Step 3: Cross multiply
    669.92x = 924.54 × 434.20
  4. Step 4: Simplify right side
    669.92x = 401,435.27
  5. Step 5: Solve for x
    x = 401,435.27/669.92
  6. Step 6: Final answer
    x = 599.23

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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.