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Finding the Fourth Proportional to 660.24, 910.68 and 384.24

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Solution

The fourth proportional to 660.24, 910.68 and 384.24 is: 529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.24 : 910.68 = 384.24 : x
  2. Step 2: Convert to fraction form
    660.24/910.68 = 384.24/x
  3. Step 3: Cross multiply
    660.24x = 910.68 × 384.24
  4. Step 4: Simplify right side
    660.24x = 349,919.68
  5. Step 5: Solve for x
    x = 349,919.68/660.24
  6. Step 6: Final answer
    x = 529.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.