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Finding the Fourth Proportional to 471.60, 707.64 and 309.24

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Solution

The fourth proportional to 471.60, 707.64 and 309.24 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 707.64 = 309.24 : x
  2. Step 2: Convert to fraction form
    471.60/707.64 = 309.24/x
  3. Step 3: Cross multiply
    471.60x = 707.64 × 309.24
  4. Step 4: Simplify right side
    471.60x = 218,830.59
  5. Step 5: Solve for x
    x = 218,830.59/471.60
  6. Step 6: Final answer
    x = 464.02

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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.