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Finding the Fourth Proportional to 619.24, 929.28 and 294.64

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Solution

The fourth proportional to 619.24, 929.28 and 294.64 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.24 : 929.28 = 294.64 : x
  2. Step 2: Convert to fraction form
    619.24/929.28 = 294.64/x
  3. Step 3: Cross multiply
    619.24x = 929.28 × 294.64
  4. Step 4: Simplify right side
    619.24x = 273,803.06
  5. Step 5: Solve for x
    x = 273,803.06/619.24
  6. Step 6: Final answer
    x = 442.16

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