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Finding the Fourth Proportional to 498.97, 688.47 and 302.53

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Solution

The fourth proportional to 498.97, 688.47 and 302.53 is: 417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.97 : 688.47 = 302.53 : x
  2. Step 2: Convert to fraction form
    498.97/688.47 = 302.53/x
  3. Step 3: Cross multiply
    498.97x = 688.47 × 302.53
  4. Step 4: Simplify right side
    498.97x = 208,282.83
  5. Step 5: Solve for x
    x = 208,282.83/498.97
  6. Step 6: Final answer
    x = 417.43

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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.