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Finding the Fourth Proportional to 472.76, 708.11 and 289.60

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Solution

The fourth proportional to 472.76, 708.11 and 289.60 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 708.11 = 289.60 : x
  2. Step 2: Convert to fraction form
    472.76/708.11 = 289.60/x
  3. Step 3: Cross multiply
    472.76x = 708.11 × 289.60
  4. Step 4: Simplify right side
    472.76x = 205,068.66
  5. Step 5: Solve for x
    x = 205,068.66/472.76
  6. Step 6: Final answer
    x = 433.77

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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.