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Finding the Fourth Proportional to 495.16, 684.66 and 433.72

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Solution

The fourth proportional to 495.16, 684.66 and 433.72 is: 599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 684.66 = 433.72 : x
  2. Step 2: Convert to fraction form
    495.16/684.66 = 433.72/x
  3. Step 3: Cross multiply
    495.16x = 684.66 × 433.72
  4. Step 4: Simplify right side
    495.16x = 296,950.74
  5. Step 5: Solve for x
    x = 296,950.74/495.16
  6. Step 6: Final answer
    x = 599.71

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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.