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Finding the Fourth Proportional to 475.97, 712.74 and 403.07

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Solution

The fourth proportional to 475.97, 712.74 and 403.07 is: 603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 712.74 = 403.07 : x
  2. Step 2: Convert to fraction form
    475.97/712.74 = 403.07/x
  3. Step 3: Cross multiply
    475.97x = 712.74 × 403.07
  4. Step 4: Simplify right side
    475.97x = 287,284.11
  5. Step 5: Solve for x
    x = 287,284.11/475.97
  6. Step 6: Final answer
    x = 603.58

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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.