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Finding the Fourth Proportional to 469.38, 645.93 and 455.75

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Solution

The fourth proportional to 469.38, 645.93 and 455.75 is: 627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 645.93 = 455.75 : x
  2. Step 2: Convert to fraction form
    469.38/645.93 = 455.75/x
  3. Step 3: Cross multiply
    469.38x = 645.93 × 455.75
  4. Step 4: Simplify right side
    469.38x = 294,382.60
  5. Step 5: Solve for x
    x = 294,382.60/469.38
  6. Step 6: Final answer
    x = 627.17

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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.