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Finding the Fourth Proportional to 499.72, 689.78 and 369.16

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Solution

The fourth proportional to 499.72, 689.78 and 369.16 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.72 : 689.78 = 369.16 : x
  2. Step 2: Convert to fraction form
    499.72/689.78 = 369.16/x
  3. Step 3: Cross multiply
    499.72x = 689.78 × 369.16
  4. Step 4: Simplify right side
    499.72x = 254,639.18
  5. Step 5: Solve for x
    x = 254,639.18/499.72
  6. Step 6: Final answer
    x = 509.56

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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.