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Finding the Fourth Proportional to 556.38, 834.57 and 470.52

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Solution

The fourth proportional to 556.38, 834.57 and 470.52 is: 705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.38 : 834.57 = 470.52 : x
  2. Step 2: Convert to fraction form
    556.38/834.57 = 470.52/x
  3. Step 3: Cross multiply
    556.38x = 834.57 × 470.52
  4. Step 4: Simplify right side
    556.38x = 392,681.88
  5. Step 5: Solve for x
    x = 392,681.88/556.38
  6. Step 6: Final answer
    x = 705.78

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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.