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Finding the Fourth Proportional to 910.08, 1,364.07 and 498.30

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Solution

The fourth proportional to 910.08, 1,364.07 and 498.30 is: 746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.08 : 1,364.07 = 498.30 : x
  2. Step 2: Convert to fraction form
    910.08/1,364.07 = 498.30/x
  3. Step 3: Cross multiply
    910.08x = 1,364.07 × 498.30
  4. Step 4: Simplify right side
    910.08x = 679,716.08
  5. Step 5: Solve for x
    x = 679,716.08/910.08
  6. Step 6: Final answer
    x = 746.88

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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.