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Finding the Fourth Proportional to 433.96, 598.62 and 294.06

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Solution

The fourth proportional to 433.96, 598.62 and 294.06 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 598.62 = 294.06 : x
  2. Step 2: Convert to fraction form
    433.96/598.62 = 294.06/x
  3. Step 3: Cross multiply
    433.96x = 598.62 × 294.06
  4. Step 4: Simplify right side
    433.96x = 176,030.20
  5. Step 5: Solve for x
    x = 176,030.20/433.96
  6. Step 6: Final answer
    x = 405.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.