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Finding the Fourth Proportional to 472.12, 707.80 and 465.64

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Solution

The fourth proportional to 472.12, 707.80 and 465.64 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 707.80 = 465.64 : x
  2. Step 2: Convert to fraction form
    472.12/707.80 = 465.64/x
  3. Step 3: Cross multiply
    472.12x = 707.80 × 465.64
  4. Step 4: Simplify right side
    472.12x = 329,579.99
  5. Step 5: Solve for x
    x = 329,579.99/472.12
  6. Step 6: Final answer
    x = 698.09

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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.