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Finding the Fourth Proportional to 433.30, 652.85 and 392.22

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Solution

The fourth proportional to 433.30, 652.85 and 392.22 is: 590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.30 : 652.85 = 392.22 : x
  2. Step 2: Convert to fraction form
    433.30/652.85 = 392.22/x
  3. Step 3: Cross multiply
    433.30x = 652.85 × 392.22
  4. Step 4: Simplify right side
    433.30x = 256,061.48
  5. Step 5: Solve for x
    x = 256,061.48/433.30
  6. Step 6: Final answer
    x = 590.96

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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.