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Finding the Fourth Proportional to 493.99, 740.98 and 469.35

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Solution

The fourth proportional to 493.99, 740.98 and 469.35 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.99 : 740.98 = 469.35 : x
  2. Step 2: Convert to fraction form
    493.99/740.98 = 469.35/x
  3. Step 3: Cross multiply
    493.99x = 740.98 × 469.35
  4. Step 4: Simplify right side
    493.99x = 347,776.62
  5. Step 5: Solve for x
    x = 347,776.62/493.99
  6. Step 6: Final answer
    x = 704.02

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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.