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Finding the Fourth Proportional to 493.77, 740.42 and 169

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Solution

The fourth proportional to 493.77, 740.42 and 169 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.77 : 740.42 = 169 : x
  2. Step 2: Convert to fraction form
    493.77/740.42 = 169/x
  3. Step 3: Cross multiply
    493.77x = 740.42 × 169
  4. Step 4: Simplify right side
    493.77x = 125,130.98
  5. Step 5: Solve for x
    x = 125,130.98/493.77
  6. Step 6: Final answer
    x = 253.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.