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Finding the Fourth Proportional to 651.89, 900.80 and 465.05

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Solution

The fourth proportional to 651.89, 900.80 and 465.05 is: 642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.89 : 900.80 = 465.05 : x
  2. Step 2: Convert to fraction form
    651.89/900.80 = 465.05/x
  3. Step 3: Cross multiply
    651.89x = 900.80 × 465.05
  4. Step 4: Simplify right side
    651.89x = 418,910.21
  5. Step 5: Solve for x
    x = 418,910.21/651.89
  6. Step 6: Final answer
    x = 642.61

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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.