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Finding the Fourth Proportional to 493.48, 681.02 and 307.08

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Solution

The fourth proportional to 493.48, 681.02 and 307.08 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 681.02 = 307.08 : x
  2. Step 2: Convert to fraction form
    493.48/681.02 = 307.08/x
  3. Step 3: Cross multiply
    493.48x = 681.02 × 307.08
  4. Step 4: Simplify right side
    493.48x = 209,127.62
  5. Step 5: Solve for x
    x = 209,127.62/493.48
  6. Step 6: Final answer
    x = 423.78

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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.