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Finding the Fourth Proportional to 465.32, 694.59 and 410.65

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Solution

The fourth proportional to 465.32, 694.59 and 410.65 is: 612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 694.59 = 410.65 : x
  2. Step 2: Convert to fraction form
    465.32/694.59 = 410.65/x
  3. Step 3: Cross multiply
    465.32x = 694.59 × 410.65
  4. Step 4: Simplify right side
    465.32x = 285,233.38
  5. Step 5: Solve for x
    x = 285,233.38/465.32
  6. Step 6: Final answer
    x = 612.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.