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Finding the Fourth Proportional to 660.30, 910.86 and 536.10

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Solution

The fourth proportional to 660.30, 910.86 and 536.10 is: 739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.30 : 910.86 = 536.10 : x
  2. Step 2: Convert to fraction form
    660.30/910.86 = 536.10/x
  3. Step 3: Cross multiply
    660.30x = 910.86 × 536.10
  4. Step 4: Simplify right side
    660.30x = 488,312.05
  5. Step 5: Solve for x
    x = 488,312.05/660.30
  6. Step 6: Final answer
    x = 739.53

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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.