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Finding the Fourth Proportional to 655.32, 904.92 and 446.27

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Solution

The fourth proportional to 655.32, 904.92 and 446.27 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 904.92 = 446.27 : x
  2. Step 2: Convert to fraction form
    655.32/904.92 = 446.27/x
  3. Step 3: Cross multiply
    655.32x = 904.92 × 446.27
  4. Step 4: Simplify right side
    655.32x = 403,838.65
  5. Step 5: Solve for x
    x = 403,838.65/655.32
  6. Step 6: Final answer
    x = 616.25

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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.