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Finding the Fourth Proportional to 499.52, 689.40 and 303.02

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Solution

The fourth proportional to 499.52, 689.40 and 303.02 is: 418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 689.40 = 303.02 : x
  2. Step 2: Convert to fraction form
    499.52/689.40 = 303.02/x
  3. Step 3: Cross multiply
    499.52x = 689.40 × 303.02
  4. Step 4: Simplify right side
    499.52x = 208,901.99
  5. Step 5: Solve for x
    x = 208,901.99/499.52
  6. Step 6: Final answer
    x = 418.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.