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Finding the Fourth Proportional to 507.66, 757.70 and 437.94

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Solution

The fourth proportional to 507.66, 757.70 and 437.94 is: 653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.66 : 757.70 = 437.94 : x
  2. Step 2: Convert to fraction form
    507.66/757.70 = 437.94/x
  3. Step 3: Cross multiply
    507.66x = 757.70 × 437.94
  4. Step 4: Simplify right side
    507.66x = 331,824.95
  5. Step 5: Solve for x
    x = 331,824.95/507.66
  6. Step 6: Final answer
    x = 653.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.