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Finding the Fourth Proportional to 499.24, 688.78 and 302.68

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Solution

The fourth proportional to 499.24, 688.78 and 302.68 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 688.78 = 302.68 : x
  2. Step 2: Convert to fraction form
    499.24/688.78 = 302.68/x
  3. Step 3: Cross multiply
    499.24x = 688.78 × 302.68
  4. Step 4: Simplify right side
    499.24x = 208,479.93
  5. Step 5: Solve for x
    x = 208,479.93/499.24
  6. Step 6: Final answer
    x = 417.59

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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.