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Finding the Fourth Proportional to 472.16, 711.72 and 464.87

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Solution

The fourth proportional to 472.16, 711.72 and 464.87 is: 700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 711.72 = 464.87 : x
  2. Step 2: Convert to fraction form
    472.16/711.72 = 464.87/x
  3. Step 3: Cross multiply
    472.16x = 711.72 × 464.87
  4. Step 4: Simplify right side
    472.16x = 330,859.06
  5. Step 5: Solve for x
    x = 330,859.06/472.16
  6. Step 6: Final answer
    x = 700.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.