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Finding the Fourth Proportional to 659.24, 910.02 and 452.36

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Solution

The fourth proportional to 659.24, 910.02 and 452.36 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.24 : 910.02 = 452.36 : x
  2. Step 2: Convert to fraction form
    659.24/910.02 = 452.36/x
  3. Step 3: Cross multiply
    659.24x = 910.02 × 452.36
  4. Step 4: Simplify right side
    659.24x = 411,656.65
  5. Step 5: Solve for x
    x = 411,656.65/659.24
  6. Step 6: Final answer
    x = 624.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.