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Finding the Fourth Proportional to 471.24, 701.87 and 465.84

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Solution

The fourth proportional to 471.24, 701.87 and 465.84 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 701.87 = 465.84 : x
  2. Step 2: Convert to fraction form
    471.24/701.87 = 465.84/x
  3. Step 3: Cross multiply
    471.24x = 701.87 × 465.84
  4. Step 4: Simplify right side
    471.24x = 326,956.79
  5. Step 5: Solve for x
    x = 326,956.79/471.24
  6. Step 6: Final answer
    x = 693.82

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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.