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Finding the Fourth Proportional to 579.34, 870.09 and 509.95

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Solution

The fourth proportional to 579.34, 870.09 and 509.95 is: 765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.34 : 870.09 = 509.95 : x
  2. Step 2: Convert to fraction form
    579.34/870.09 = 509.95/x
  3. Step 3: Cross multiply
    579.34x = 870.09 × 509.95
  4. Step 4: Simplify right side
    579.34x = 443,702.40
  5. Step 5: Solve for x
    x = 443,702.40/579.34
  6. Step 6: Final answer
    x = 765.88

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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.