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Finding the Fourth Proportional to 609.95, 915.17 and 390.82

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Solution

The fourth proportional to 609.95, 915.17 and 390.82 is: 586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.95 : 915.17 = 390.82 : x
  2. Step 2: Convert to fraction form
    609.95/915.17 = 390.82/x
  3. Step 3: Cross multiply
    609.95x = 915.17 × 390.82
  4. Step 4: Simplify right side
    609.95x = 357,667.51
  5. Step 5: Solve for x
    x = 357,667.51/609.95
  6. Step 6: Final answer
    x = 586.39

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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.