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Finding the Fourth Proportional to 557.29, 834.64 and 440.95

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Solution

The fourth proportional to 557.29, 834.64 and 440.95 is: 660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.29 : 834.64 = 440.95 : x
  2. Step 2: Convert to fraction form
    557.29/834.64 = 440.95/x
  3. Step 3: Cross multiply
    557.29x = 834.64 × 440.95
  4. Step 4: Simplify right side
    557.29x = 368,034.51
  5. Step 5: Solve for x
    x = 368,034.51/557.29
  6. Step 6: Final answer
    x = 660.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.