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Finding the Fourth Proportional to 495.72, 684.32 and 433.62

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Solution

The fourth proportional to 495.72, 684.32 and 433.62 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 684.32 = 433.62 : x
  2. Step 2: Convert to fraction form
    495.72/684.32 = 433.62/x
  3. Step 3: Cross multiply
    495.72x = 684.32 × 433.62
  4. Step 4: Simplify right side
    495.72x = 296,732.67
  5. Step 5: Solve for x
    x = 296,732.67/495.72
  6. Step 6: Final answer
    x = 598.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.