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Finding the Fourth Proportional to 493.58, 740.66 and 185.64

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Solution

The fourth proportional to 493.58, 740.66 and 185.64 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.58 : 740.66 = 185.64 : x
  2. Step 2: Convert to fraction form
    493.58/740.66 = 185.64/x
  3. Step 3: Cross multiply
    493.58x = 740.66 × 185.64
  4. Step 4: Simplify right side
    493.58x = 137,495.19
  5. Step 5: Solve for x
    x = 137,495.19/493.58
  6. Step 6: Final answer
    x = 278.57

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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.