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Finding the Fourth Proportional to 591.34, 886.47 and 302.14

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Solution

The fourth proportional to 591.34, 886.47 and 302.14 is: 452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.34 : 886.47 = 302.14 : x
  2. Step 2: Convert to fraction form
    591.34/886.47 = 302.14/x
  3. Step 3: Cross multiply
    591.34x = 886.47 × 302.14
  4. Step 4: Simplify right side
    591.34x = 267,838.05
  5. Step 5: Solve for x
    x = 267,838.05/591.34
  6. Step 6: Final answer
    x = 452.93

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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.