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Finding the Fourth Proportional to 663.32, 993.90 and 470

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Solution

The fourth proportional to 663.32, 993.90 and 470 is: 704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.32 : 993.90 = 470 : x
  2. Step 2: Convert to fraction form
    663.32/993.90 = 470/x
  3. Step 3: Cross multiply
    663.32x = 993.90 × 470
  4. Step 4: Simplify right side
    663.32x = 467,133
  5. Step 5: Solve for x
    x = 467,133/663.32
  6. Step 6: Final answer
    x = 704.23

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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.