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Finding the Fourth Proportional to 589.64, 883.32 and 357.86

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Solution

The fourth proportional to 589.64, 883.32 and 357.86 is: 536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 883.32 = 357.86 : x
  2. Step 2: Convert to fraction form
    589.64/883.32 = 357.86/x
  3. Step 3: Cross multiply
    589.64x = 883.32 × 357.86
  4. Step 4: Simplify right side
    589.64x = 316,104.90
  5. Step 5: Solve for x
    x = 316,104.90/589.64
  6. Step 6: Final answer
    x = 536.10

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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.