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Finding the Fourth Proportional to 472.05, 707.15 and 309.24

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Solution

The fourth proportional to 472.05, 707.15 and 309.24 is: 463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.05 : 707.15 = 309.24 : x
  2. Step 2: Convert to fraction form
    472.05/707.15 = 309.24/x
  3. Step 3: Cross multiply
    472.05x = 707.15 × 309.24
  4. Step 4: Simplify right side
    472.05x = 218,679.84
  5. Step 5: Solve for x
    x = 218,679.84/472.05
  6. Step 6: Final answer
    x = 463.26

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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.