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Finding the Fourth Proportional to 493.93, 681.75 and 307.30

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Solution

The fourth proportional to 493.93, 681.75 and 307.30 is: 424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.93 : 681.75 = 307.30 : x
  2. Step 2: Convert to fraction form
    493.93/681.75 = 307.30/x
  3. Step 3: Cross multiply
    493.93x = 681.75 × 307.30
  4. Step 4: Simplify right side
    493.93x = 209,501.78
  5. Step 5: Solve for x
    x = 209,501.78/493.93
  6. Step 6: Final answer
    x = 424.15

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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.