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Finding the Fourth Proportional to 489.45, 730.34 and 437.66

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Solution

The fourth proportional to 489.45, 730.34 and 437.66 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.45 : 730.34 = 437.66 : x
  2. Step 2: Convert to fraction form
    489.45/730.34 = 437.66/x
  3. Step 3: Cross multiply
    489.45x = 730.34 × 437.66
  4. Step 4: Simplify right side
    489.45x = 319,636.77
  5. Step 5: Solve for x
    x = 319,636.77/489.45
  6. Step 6: Final answer
    x = 653.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.