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Finding the Fourth Proportional to 469.01, 703.86 and 176.80

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Solution

The fourth proportional to 469.01, 703.86 and 176.80 is: 265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.01 : 703.86 = 176.80 : x
  2. Step 2: Convert to fraction form
    469.01/703.86 = 176.80/x
  3. Step 3: Cross multiply
    469.01x = 703.86 × 176.80
  4. Step 4: Simplify right side
    469.01x = 124,438.93
  5. Step 5: Solve for x
    x = 124,438.93/469.01
  6. Step 6: Final answer
    x = 265.33

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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.