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Finding the Fourth Proportional to 624.16, 935.41 and 316.23

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Solution

The fourth proportional to 624.16, 935.41 and 316.23 is: 473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 935.41 = 316.23 : x
  2. Step 2: Convert to fraction form
    624.16/935.41 = 316.23/x
  3. Step 3: Cross multiply
    624.16x = 935.41 × 316.23
  4. Step 4: Simplify right side
    624.16x = 295,804.70
  5. Step 5: Solve for x
    x = 295,804.70/624.16
  6. Step 6: Final answer
    x = 473.92

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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.