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Finding the Fourth Proportional to 499.29, 689.08 and 302.80

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Solution

The fourth proportional to 499.29, 689.08 and 302.80 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.29 : 689.08 = 302.80 : x
  2. Step 2: Convert to fraction form
    499.29/689.08 = 302.80/x
  3. Step 3: Cross multiply
    499.29x = 689.08 × 302.80
  4. Step 4: Simplify right side
    499.29x = 208,653.42
  5. Step 5: Solve for x
    x = 208,653.42/499.29
  6. Step 6: Final answer
    x = 417.90

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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.