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Finding the Fourth Proportional to 403.52, 604.64 and 384.32

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Solution

The fourth proportional to 403.52, 604.64 and 384.32 is: 575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.52 : 604.64 = 384.32 : x
  2. Step 2: Convert to fraction form
    403.52/604.64 = 384.32/x
  3. Step 3: Cross multiply
    403.52x = 604.64 × 384.32
  4. Step 4: Simplify right side
    403.52x = 232,375.24
  5. Step 5: Solve for x
    x = 232,375.24/403.52
  6. Step 6: Final answer
    x = 575.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.