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Finding the Fourth Proportional to 460.10, 690.26 and 265.19

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Solution

The fourth proportional to 460.10, 690.26 and 265.19 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 690.26 = 265.19 : x
  2. Step 2: Convert to fraction form
    460.10/690.26 = 265.19/x
  3. Step 3: Cross multiply
    460.10x = 690.26 × 265.19
  4. Step 4: Simplify right side
    460.10x = 183,050.05
  5. Step 5: Solve for x
    x = 183,050.05/460.10
  6. Step 6: Final answer
    x = 397.85

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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.