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Finding the Fourth Proportional to 475.40, 655.86 and 317.96

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Solution

The fourth proportional to 475.40, 655.86 and 317.96 is: 438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.40 : 655.86 = 317.96 : x
  2. Step 2: Convert to fraction form
    475.40/655.86 = 317.96/x
  3. Step 3: Cross multiply
    475.40x = 655.86 × 317.96
  4. Step 4: Simplify right side
    475.40x = 208,537.25
  5. Step 5: Solve for x
    x = 208,537.25/475.40
  6. Step 6: Final answer
    x = 438.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.