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Finding the Fourth Proportional to 491.29, 679.57 and 433.08

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Solution

The fourth proportional to 491.29, 679.57 and 433.08 is: 599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.29 : 679.57 = 433.08 : x
  2. Step 2: Convert to fraction form
    491.29/679.57 = 433.08/x
  3. Step 3: Cross multiply
    491.29x = 679.57 × 433.08
  4. Step 4: Simplify right side
    491.29x = 294,307.09
  5. Step 5: Solve for x
    x = 294,307.09/491.29
  6. Step 6: Final answer
    x = 599.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.