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Finding the Fourth Proportional to 619.53, 929.50 and 294.86

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Solution

The fourth proportional to 619.53, 929.50 and 294.86 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.53 : 929.50 = 294.86 : x
  2. Step 2: Convert to fraction form
    619.53/929.50 = 294.86/x
  3. Step 3: Cross multiply
    619.53x = 929.50 × 294.86
  4. Step 4: Simplify right side
    619.53x = 274,066.99
  5. Step 5: Solve for x
    x = 274,066.99/619.53
  6. Step 6: Final answer
    x = 442.38

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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.