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Finding the Fourth Proportional to 475.53, 712.77 and 310.93

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Solution

The fourth proportional to 475.53, 712.77 and 310.93 is: 466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.53 : 712.77 = 310.93 : x
  2. Step 2: Convert to fraction form
    475.53/712.77 = 310.93/x
  3. Step 3: Cross multiply
    475.53x = 712.77 × 310.93
  4. Step 4: Simplify right side
    475.53x = 221,625.26
  5. Step 5: Solve for x
    x = 221,625.26/475.53
  6. Step 6: Final answer
    x = 466.06

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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.