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Finding the Fourth Proportional to 472.77, 709.29 and 310.50

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Solution

The fourth proportional to 472.77, 709.29 and 310.50 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 709.29 = 310.50 : x
  2. Step 2: Convert to fraction form
    472.77/709.29 = 310.50/x
  3. Step 3: Cross multiply
    472.77x = 709.29 × 310.50
  4. Step 4: Simplify right side
    472.77x = 220,234.55
  5. Step 5: Solve for x
    x = 220,234.55/472.77
  6. Step 6: Final answer
    x = 465.84

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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.