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Finding the Fourth Proportional to 491.55, 736.25 and 424.05

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Solution

The fourth proportional to 491.55, 736.25 and 424.05 is: 635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.55 : 736.25 = 424.05 : x
  2. Step 2: Convert to fraction form
    491.55/736.25 = 424.05/x
  3. Step 3: Cross multiply
    491.55x = 736.25 × 424.05
  4. Step 4: Simplify right side
    491.55x = 312,204.69
  5. Step 5: Solve for x
    x = 312,204.69/491.55
  6. Step 6: Final answer
    x = 635.14

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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.