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Finding the Fourth Proportional to 624.76, 862.23 and 345.06

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Solution

The fourth proportional to 624.76, 862.23 and 345.06 is: 476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.76 : 862.23 = 345.06 : x
  2. Step 2: Convert to fraction form
    624.76/862.23 = 345.06/x
  3. Step 3: Cross multiply
    624.76x = 862.23 × 345.06
  4. Step 4: Simplify right side
    624.76x = 297,521.08
  5. Step 5: Solve for x
    x = 297,521.08/624.76
  6. Step 6: Final answer
    x = 476.22

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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.