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Finding the Fourth Proportional to 624.63, 862.28 and 403.95

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Solution

The fourth proportional to 624.63, 862.28 and 403.95 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.63 : 862.28 = 403.95 : x
  2. Step 2: Convert to fraction form
    624.63/862.28 = 403.95/x
  3. Step 3: Cross multiply
    624.63x = 862.28 × 403.95
  4. Step 4: Simplify right side
    624.63x = 348,318.01
  5. Step 5: Solve for x
    x = 348,318.01/624.63
  6. Step 6: Final answer
    x = 557.64

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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.