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Finding the Fourth Proportional to 433.24, 652.36 and 360.76

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Solution

The fourth proportional to 433.24, 652.36 and 360.76 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 652.36 = 360.76 : x
  2. Step 2: Convert to fraction form
    433.24/652.36 = 360.76/x
  3. Step 3: Cross multiply
    433.24x = 652.36 × 360.76
  4. Step 4: Simplify right side
    433.24x = 235,345.39
  5. Step 5: Solve for x
    x = 235,345.39/433.24
  6. Step 6: Final answer
    x = 543.22

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Why These Related Problems?

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