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Finding the Fourth Proportional to 624.74, 935.55 and 364.05

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Solution

The fourth proportional to 624.74, 935.55 and 364.05 is: 545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.74 : 935.55 = 364.05 : x
  2. Step 2: Convert to fraction form
    624.74/935.55 = 364.05/x
  3. Step 3: Cross multiply
    624.74x = 935.55 × 364.05
  4. Step 4: Simplify right side
    624.74x = 340,586.98
  5. Step 5: Solve for x
    x = 340,586.98/624.74
  6. Step 6: Final answer
    x = 545.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.