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Finding the Fourth Proportional to 663.73, 914.98 and 414.93

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Solution

The fourth proportional to 663.73, 914.98 and 414.93 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.73 : 914.98 = 414.93 : x
  2. Step 2: Convert to fraction form
    663.73/914.98 = 414.93/x
  3. Step 3: Cross multiply
    663.73x = 914.98 × 414.93
  4. Step 4: Simplify right side
    663.73x = 379,652.65
  5. Step 5: Solve for x
    x = 379,652.65/663.73
  6. Step 6: Final answer
    x = 572.00

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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.