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Finding the Fourth Proportional to 537.18, 803.87 and 456.99

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Solution

The fourth proportional to 537.18, 803.87 and 456.99 is: 683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.18 : 803.87 = 456.99 : x
  2. Step 2: Convert to fraction form
    537.18/803.87 = 456.99/x
  3. Step 3: Cross multiply
    537.18x = 803.87 × 456.99
  4. Step 4: Simplify right side
    537.18x = 367,364.06
  5. Step 5: Solve for x
    x = 367,364.06/537.18
  6. Step 6: Final answer
    x = 683.87

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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.