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Finding the Fourth Proportional to 491.87, 738.63 and 307.20

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Solution

The fourth proportional to 491.87, 738.63 and 307.20 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.87 : 738.63 = 307.20 : x
  2. Step 2: Convert to fraction form
    491.87/738.63 = 307.20/x
  3. Step 3: Cross multiply
    491.87x = 738.63 × 307.20
  4. Step 4: Simplify right side
    491.87x = 226,908.00
  5. Step 5: Solve for x
    x = 226,908.00/491.87
  6. Step 6: Final answer
    x = 461.32

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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.