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Finding the Fourth Proportional to 493.69, 740.53 and 285.77

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Solution

The fourth proportional to 493.69, 740.53 and 285.77 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.69 : 740.53 = 285.77 : x
  2. Step 2: Convert to fraction form
    493.69/740.53 = 285.77/x
  3. Step 3: Cross multiply
    493.69x = 740.53 × 285.77
  4. Step 4: Simplify right side
    493.69x = 211,616.13
  5. Step 5: Solve for x
    x = 211,616.13/493.69
  6. Step 6: Final answer
    x = 428.64

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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.