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Finding the Fourth Proportional to 624.94, 862.47 and 362.95

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Solution

The fourth proportional to 624.94, 862.47 and 362.95 is: 500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.94 : 862.47 = 362.95 : x
  2. Step 2: Convert to fraction form
    624.94/862.47 = 362.95/x
  3. Step 3: Cross multiply
    624.94x = 862.47 × 362.95
  4. Step 4: Simplify right side
    624.94x = 313,031.33
  5. Step 5: Solve for x
    x = 313,031.33/624.94
  6. Step 6: Final answer
    x = 500.90

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