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Finding the Fourth Proportional to 491.66, 734.15 and 433.41

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Solution

The fourth proportional to 491.66, 734.15 and 433.41 is: 647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.66 : 734.15 = 433.41 : x
  2. Step 2: Convert to fraction form
    491.66/734.15 = 433.41/x
  3. Step 3: Cross multiply
    491.66x = 734.15 × 433.41
  4. Step 4: Simplify right side
    491.66x = 318,185.78
  5. Step 5: Solve for x
    x = 318,185.78/491.66
  6. Step 6: Final answer
    x = 647.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.