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Finding the Fourth Proportional to 491.04, 734.96 and 361.01

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Solution

The fourth proportional to 491.04, 734.96 and 361.01 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.04 : 734.96 = 361.01 : x
  2. Step 2: Convert to fraction form
    491.04/734.96 = 361.01/x
  3. Step 3: Cross multiply
    491.04x = 734.96 × 361.01
  4. Step 4: Simplify right side
    491.04x = 265,325.17
  5. Step 5: Solve for x
    x = 265,325.17/491.04
  6. Step 6: Final answer
    x = 540.33

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Why These Related Problems?

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