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Finding the Fourth Proportional to 624.60, 935.64 and 393.60

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Solution

The fourth proportional to 624.60, 935.64 and 393.60 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 935.64 = 393.60 : x
  2. Step 2: Convert to fraction form
    624.60/935.64 = 393.60/x
  3. Step 3: Cross multiply
    624.60x = 935.64 × 393.60
  4. Step 4: Simplify right side
    624.60x = 368,267.90
  5. Step 5: Solve for x
    x = 368,267.90/624.60
  6. Step 6: Final answer
    x = 589.61

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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.