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Finding the Fourth Proportional to 624.00, 935.69 and 364.07

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Solution

The fourth proportional to 624.00, 935.69 and 364.07 is: 545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.00 : 935.69 = 364.07 : x
  2. Step 2: Convert to fraction form
    624.00/935.69 = 364.07/x
  3. Step 3: Cross multiply
    624.00x = 935.69 × 364.07
  4. Step 4: Simplify right side
    624.00x = 340,660.25
  5. Step 5: Solve for x
    x = 340,660.25/624.00
  6. Step 6: Final answer
    x = 545.93

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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.