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Finding the Fourth Proportional to 364.08, 504.63 and 358.20

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Solution

The fourth proportional to 364.08, 504.63 and 358.20 is: 496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 504.63 = 358.20 : x
  2. Step 2: Convert to fraction form
    364.08/504.63 = 358.20/x
  3. Step 3: Cross multiply
    364.08x = 504.63 × 358.20
  4. Step 4: Simplify right side
    364.08x = 180,758.47
  5. Step 5: Solve for x
    x = 180,758.47/364.08
  6. Step 6: Final answer
    x = 496.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.