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Finding the Fourth Proportional to 507.16, 759.90 and 290.20

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Solution

The fourth proportional to 507.16, 759.90 and 290.20 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 759.90 = 290.20 : x
  2. Step 2: Convert to fraction form
    507.16/759.90 = 290.20/x
  3. Step 3: Cross multiply
    507.16x = 759.90 × 290.20
  4. Step 4: Simplify right side
    507.16x = 220,522.98
  5. Step 5: Solve for x
    x = 220,522.98/507.16
  6. Step 6: Final answer
    x = 434.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.