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Finding the Fourth Proportional to 624.36, 935.66 and 364.34

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Solution

The fourth proportional to 624.36, 935.66 and 364.34 is: 546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.36 : 935.66 = 364.34 : x
  2. Step 2: Convert to fraction form
    624.36/935.66 = 364.34/x
  3. Step 3: Cross multiply
    624.36x = 935.66 × 364.34
  4. Step 4: Simplify right side
    624.36x = 340,898.36
  5. Step 5: Solve for x
    x = 340,898.36/624.36
  6. Step 6: Final answer
    x = 546.00

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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.