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Finding the Fourth Proportional to 407.26, 613.06 and 369.58

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Solution

The fourth proportional to 407.26, 613.06 and 369.58 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 613.06 = 369.58 : x
  2. Step 2: Convert to fraction form
    407.26/613.06 = 369.58/x
  3. Step 3: Cross multiply
    407.26x = 613.06 × 369.58
  4. Step 4: Simplify right side
    407.26x = 226,574.71
  5. Step 5: Solve for x
    x = 226,574.71/407.26
  6. Step 6: Final answer
    x = 556.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.