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Finding the Fourth Proportional to 498.86, 688.38 and 302.48

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Solution

The fourth proportional to 498.86, 688.38 and 302.48 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.86 : 688.38 = 302.48 : x
  2. Step 2: Convert to fraction form
    498.86/688.38 = 302.48/x
  3. Step 3: Cross multiply
    498.86x = 688.38 × 302.48
  4. Step 4: Simplify right side
    498.86x = 208,217.74
  5. Step 5: Solve for x
    x = 208,217.74/498.86
  6. Step 6: Final answer
    x = 417.39

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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.