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Finding the Fourth Proportional to 403.16, 601.24 and 364.28

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Solution

The fourth proportional to 403.16, 601.24 and 364.28 is: 543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 601.24 = 364.28 : x
  2. Step 2: Convert to fraction form
    403.16/601.24 = 364.28/x
  3. Step 3: Cross multiply
    403.16x = 601.24 × 364.28
  4. Step 4: Simplify right side
    403.16x = 219,019.71
  5. Step 5: Solve for x
    x = 219,019.71/403.16
  6. Step 6: Final answer
    x = 543.26

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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.