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Finding the Fourth Proportional to 465.53, 640.55 and 403.16

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Solution

The fourth proportional to 465.53, 640.55 and 403.16 is: 554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.53 : 640.55 = 403.16 : x
  2. Step 2: Convert to fraction form
    465.53/640.55 = 403.16/x
  3. Step 3: Cross multiply
    465.53x = 640.55 × 403.16
  4. Step 4: Simplify right side
    465.53x = 258,238.92
  5. Step 5: Solve for x
    x = 258,238.92/465.53
  6. Step 6: Final answer
    x = 554.73

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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.