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Finding the Fourth Proportional to 440.64, 608.58 and 434.57

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Solution

The fourth proportional to 440.64, 608.58 and 434.57 is: 600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.64 : 608.58 = 434.57 : x
  2. Step 2: Convert to fraction form
    440.64/608.58 = 434.57/x
  3. Step 3: Cross multiply
    440.64x = 608.58 × 434.57
  4. Step 4: Simplify right side
    440.64x = 264,467.57
  5. Step 5: Solve for x
    x = 264,467.57/440.64
  6. Step 6: Final answer
    x = 600.19

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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.