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Finding the Fourth Proportional to 931.32, 1,396.34 and 475

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Solution

The fourth proportional to 931.32, 1,396.34 and 475 is: 712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.32 : 1,396.34 = 475 : x
  2. Step 2: Convert to fraction form
    931.32/1,396.34 = 475/x
  3. Step 3: Cross multiply
    931.32x = 1,396.34 × 475
  4. Step 4: Simplify right side
    931.32x = 663,261.50
  5. Step 5: Solve for x
    x = 663,261.50/931.32
  6. Step 6: Final answer
    x = 712.17

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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.