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Finding the Fourth Proportional to 663.58, 914.52 and 514

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Solution

The fourth proportional to 663.58, 914.52 and 514 is: 708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.58 : 914.52 = 514 : x
  2. Step 2: Convert to fraction form
    663.58/914.52 = 514/x
  3. Step 3: Cross multiply
    663.58x = 914.52 × 514
  4. Step 4: Simplify right side
    663.58x = 470,063.28
  5. Step 5: Solve for x
    x = 470,063.28/663.58
  6. Step 6: Final answer
    x = 708.37

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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.