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Finding the Fourth Proportional to 471.44, 707.16 and 460.64

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Solution

The fourth proportional to 471.44, 707.16 and 460.64 is: 690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 707.16 = 460.64 : x
  2. Step 2: Convert to fraction form
    471.44/707.16 = 460.64/x
  3. Step 3: Cross multiply
    471.44x = 707.16 × 460.64
  4. Step 4: Simplify right side
    471.44x = 325,746.18
  5. Step 5: Solve for x
    x = 325,746.18/471.44
  6. Step 6: Final answer
    x = 690.96

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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.