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Finding the Fourth Proportional to 433.60, 652.74 and 395.33

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Solution

The fourth proportional to 433.60, 652.74 and 395.33 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 652.74 = 395.33 : x
  2. Step 2: Convert to fraction form
    433.60/652.74 = 395.33/x
  3. Step 3: Cross multiply
    433.60x = 652.74 × 395.33
  4. Step 4: Simplify right side
    433.60x = 258,047.70
  5. Step 5: Solve for x
    x = 258,047.70/433.60
  6. Step 6: Final answer
    x = 595.13

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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.