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Finding the Fourth Proportional to 663.04, 914.16 and 452.80

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Solution

The fourth proportional to 663.04, 914.16 and 452.80 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.04 : 914.16 = 452.80 : x
  2. Step 2: Convert to fraction form
    663.04/914.16 = 452.80/x
  3. Step 3: Cross multiply
    663.04x = 914.16 × 452.80
  4. Step 4: Simplify right side
    663.04x = 413,931.65
  5. Step 5: Solve for x
    x = 413,931.65/663.04
  6. Step 6: Final answer
    x = 624.29

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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.