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Finding the Fourth Proportional to 472.02, 707.68 and 276.57

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Solution

The fourth proportional to 472.02, 707.68 and 276.57 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 707.68 = 276.57 : x
  2. Step 2: Convert to fraction form
    472.02/707.68 = 276.57/x
  3. Step 3: Cross multiply
    472.02x = 707.68 × 276.57
  4. Step 4: Simplify right side
    472.02x = 195,723.06
  5. Step 5: Solve for x
    x = 195,723.06/472.02
  6. Step 6: Final answer
    x = 414.65

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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.