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Finding the Fourth Proportional to 499.49, 689.12 and 302.93

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Solution

The fourth proportional to 499.49, 689.12 and 302.93 is: 417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.49 : 689.12 = 302.93 : x
  2. Step 2: Convert to fraction form
    499.49/689.12 = 302.93/x
  3. Step 3: Cross multiply
    499.49x = 689.12 × 302.93
  4. Step 4: Simplify right side
    499.49x = 208,751.68
  5. Step 5: Solve for x
    x = 208,751.68/499.49
  6. Step 6: Final answer
    x = 417.93

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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.