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Finding the Fourth Proportional to 438.60, 657.24 and 294.06

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Solution

The fourth proportional to 438.60, 657.24 and 294.06 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.60 : 657.24 = 294.06 : x
  2. Step 2: Convert to fraction form
    438.60/657.24 = 294.06/x
  3. Step 3: Cross multiply
    438.60x = 657.24 × 294.06
  4. Step 4: Simplify right side
    438.60x = 193,267.99
  5. Step 5: Solve for x
    x = 193,267.99/438.60
  6. Step 6: Final answer
    x = 440.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.